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Finding the Third Proportional to 617,403,275,787 and 1,337,376,081,750

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Solution

The third proportional to 617,403,275,787 and 1,337,376,081,750 is: 2,896,931,153,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,403,275,787 : 1,337,376,081,750 = 1,337,376,081,750 : x
  2. Step 2: Convert to fraction form
    617,403,275,787/1,337,376,081,750 = 1,337,376,081,750/x
  3. Step 3: Cross multiply
    617,403,275,787x = 1,337,376,081,750 × 1,337,376,081,750
  4. Step 4: Simplify right side
    617,403,275,787x = 1,788,574,784,036,982,761,717,760
  5. Step 5: Solve for x
    x = 1,788,574,784,036,982,761,717,760/617,403,275,787
  6. Step 6: Final answer
    x = 2,896,931,153,721.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.