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Finding the Third Proportional to 2,802,745,861 and 3,941,874,528

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Solution

The third proportional to 2,802,745,861 and 3,941,874,528 is: 5,543,982,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802,745,861 : 3,941,874,528 = 3,941,874,528 : x
  2. Step 2: Convert to fraction form
    2,802,745,861/3,941,874,528 = 3,941,874,528/x
  3. Step 3: Cross multiply
    2,802,745,861x = 3,941,874,528 × 3,941,874,528
  4. Step 4: Simplify right side
    2,802,745,861x = 15,538,374,794,495,221,760
  5. Step 5: Solve for x
    x = 15,538,374,794,495,221,760/2,802,745,861
  6. Step 6: Final answer
    x = 5,543,982,781.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.