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Finding the Third Proportional to 491,592,934.13 and 1,053,304,841.25

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Solution

The third proportional to 491,592,934.13 and 1,053,304,841.25 is: 2,256,849,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592,934.13 : 1,053,304,841.25 = 1,053,304,841.25 : x
  2. Step 2: Convert to fraction form
    491,592,934.13/1,053,304,841.25 = 1,053,304,841.25/x
  3. Step 3: Cross multiply
    491,592,934.13x = 1,053,304,841.25 × 1,053,304,841.25
  4. Step 4: Simplify right side
    491,592,934.13x = 1,109,451,088,600,687,744
  5. Step 5: Solve for x
    x = 1,109,451,088,600,687,744/491,592,934.13
  6. Step 6: Final answer
    x = 2,256,849,135.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.