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Finding the Third Proportional to 1,118,775,769.13 and 1,755,029,029.13

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Solution

The third proportional to 1,118,775,769.13 and 1,755,029,029.13 is: 2,753,122,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,775,769.13 : 1,755,029,029.13 = 1,755,029,029.13 : x
  2. Step 2: Convert to fraction form
    1,118,775,769.13/1,755,029,029.13 = 1,755,029,029.13/x
  3. Step 3: Cross multiply
    1,118,775,769.13x = 1,755,029,029.13 × 1,755,029,029.13
  4. Step 4: Simplify right side
    1,118,775,769.13x = 3,080,126,893,071,439,872
  5. Step 5: Solve for x
    x = 3,080,126,893,071,439,872/1,118,775,769.13
  6. Step 6: Final answer
    x = 2,753,122,634.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.