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Finding the Third Proportional to 2,703,654,139,425.80 and 5,799,787,853,676.80

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Solution

The third proportional to 2,703,654,139,425.80 and 5,799,787,853,676.80 is: 12,441,509,680,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,654,139,425.80 : 5,799,787,853,676.80 = 5,799,787,853,676.80 : x
  2. Step 2: Convert to fraction form
    2,703,654,139,425.80/5,799,787,853,676.80 = 5,799,787,853,676.80/x
  3. Step 3: Cross multiply
    2,703,654,139,425.80x = 5,799,787,853,676.80 × 5,799,787,853,676.80
  4. Step 4: Simplify right side
    2,703,654,139,425.80x = 33,637,539,147,656,942,046,937,088
  5. Step 5: Solve for x
    x = 33,637,539,147,656,942,046,937,088/2,703,654,139,425.80
  6. Step 6: Final answer
    x = 12,441,509,680,228.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.