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Finding the Third Proportional to 10,319,644 and 24,098,108

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Solution

The third proportional to 10,319,644 and 24,098,108 is: 56,273,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319,644 : 24,098,108 = 24,098,108 : x
  2. Step 2: Convert to fraction form
    10,319,644/24,098,108 = 24,098,108/x
  3. Step 3: Cross multiply
    10,319,644x = 24,098,108 × 24,098,108
  4. Step 4: Simplify right side
    10,319,644x = 580,718,809,179,664
  5. Step 5: Solve for x
    x = 580,718,809,179,664/10,319,644
  6. Step 6: Final answer
    x = 56,273,143.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.