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Finding the Third Proportional to 2,703,654,139,417.80 and 5,799,787,853,658.80

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Solution

The third proportional to 2,703,654,139,417.80 and 5,799,787,853,658.80 is: 12,441,509,680,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,654,139,417.80 : 5,799,787,853,658.80 = 5,799,787,853,658.80 : x
  2. Step 2: Convert to fraction form
    2,703,654,139,417.80/5,799,787,853,658.80 = 5,799,787,853,658.80/x
  3. Step 3: Cross multiply
    2,703,654,139,417.80x = 5,799,787,853,658.80 × 5,799,787,853,658.80
  4. Step 4: Simplify right side
    2,703,654,139,417.80x = 33,637,539,147,448,146,506,809,344
  5. Step 5: Solve for x
    x = 33,637,539,147,448,146,506,809,344/2,703,654,139,417.80
  6. Step 6: Final answer
    x = 12,441,509,680,188.46

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