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Finding the Third Proportional to 1,741,625,748 and 3,760,310,376

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Solution

The third proportional to 1,741,625,748 and 3,760,310,376 is: 8,118,813,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,625,748 : 3,760,310,376 = 3,760,310,376 : x
  2. Step 2: Convert to fraction form
    1,741,625,748/3,760,310,376 = 3,760,310,376/x
  3. Step 3: Cross multiply
    1,741,625,748x = 3,760,310,376 × 3,760,310,376
  4. Step 4: Simplify right side
    1,741,625,748x = 14,139,934,123,853,260,800
  5. Step 5: Solve for x
    x = 14,139,934,123,853,260,800/1,741,625,748
  6. Step 6: Final answer
    x = 8,118,813,206.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.