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Finding the Third Proportional to 2,387,294,744 and 5,137,386,656

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Solution

The third proportional to 2,387,294,744 and 5,137,386,656 is: 11,055,501,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387,294,744 : 5,137,386,656 = 5,137,386,656 : x
  2. Step 2: Convert to fraction form
    2,387,294,744/5,137,386,656 = 5,137,386,656/x
  3. Step 3: Cross multiply
    2,387,294,744x = 5,137,386,656 × 5,137,386,656
  4. Step 4: Simplify right side
    2,387,294,744x = 26,392,741,653,246,861,312
  5. Step 5: Solve for x
    x = 26,392,741,653,246,861,312/2,387,294,744
  6. Step 6: Final answer
    x = 11,055,501,931.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.