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Finding the Third Proportional to 1,387,336,113 and 3,237,229,400

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Solution

The third proportional to 1,387,336,113 and 3,237,229,400 is: 7,553,796,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,336,113 : 3,237,229,400 = 3,237,229,400 : x
  2. Step 2: Convert to fraction form
    1,387,336,113/3,237,229,400 = 3,237,229,400/x
  3. Step 3: Cross multiply
    1,387,336,113x = 3,237,229,400 × 3,237,229,400
  4. Step 4: Simplify right side
    1,387,336,113x = 10,479,654,188,224,360,448
  5. Step 5: Solve for x
    x = 10,479,654,188,224,360,448/1,387,336,113
  6. Step 6: Final answer
    x = 7,553,796,149.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.