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Finding the Third Proportional to 9,918,101 and 15,319,324

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Solution

The third proportional to 9,918,101 and 15,319,324 is: 23,661,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918,101 : 15,319,324 = 15,319,324 : x
  2. Step 2: Convert to fraction form
    9,918,101/15,319,324 = 15,319,324/x
  3. Step 3: Cross multiply
    9,918,101x = 15,319,324 × 15,319,324
  4. Step 4: Simplify right side
    9,918,101x = 234,681,687,816,976
  5. Step 5: Solve for x
    x = 234,681,687,816,976/9,918,101
  6. Step 6: Final answer
    x = 23,661,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.