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Finding the Third Proportional to 9,876,964.50 and 15,200,632.13

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Solution

The third proportional to 9,876,964.50 and 15,200,632.13 is: 23,393,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876,964.50 : 15,200,632.13 = 15,200,632.13 : x
  2. Step 2: Convert to fraction form
    9,876,964.50/15,200,632.13 = 15,200,632.13/x
  3. Step 3: Cross multiply
    9,876,964.50x = 15,200,632.13 × 15,200,632.13
  4. Step 4: Simplify right side
    9,876,964.50x = 231,059,216,999,582
  5. Step 5: Solve for x
    x = 231,059,216,999,582/9,876,964.50
  6. Step 6: Final answer
    x = 23,393,747.85

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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.