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Finding the Third Proportional to 1,745,924,693 and 3,782,448,586

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Solution

The third proportional to 1,745,924,693 and 3,782,448,586 is: 8,194,464,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,924,693 : 3,782,448,586 = 3,782,448,586 : x
  2. Step 2: Convert to fraction form
    1,745,924,693/3,782,448,586 = 3,782,448,586/x
  3. Step 3: Cross multiply
    1,745,924,693x = 3,782,448,586 × 3,782,448,586
  4. Step 4: Simplify right side
    1,745,924,693x = 14,306,917,305,733,398,528
  5. Step 5: Solve for x
    x = 14,306,917,305,733,398,528/1,745,924,693
  6. Step 6: Final answer
    x = 8,194,464,150.20

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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.