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Finding the Third Proportional to 24,328,915 and 34,013,314

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Solution

The third proportional to 24,328,915 and 34,013,314 is: 47,552,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328,915 : 34,013,314 = 34,013,314 : x
  2. Step 2: Convert to fraction form
    24,328,915/34,013,314 = 34,013,314/x
  3. Step 3: Cross multiply
    24,328,915x = 34,013,314 × 34,013,314
  4. Step 4: Simplify right side
    24,328,915x = 1,156,905,529,262,596
  5. Step 5: Solve for x
    x = 1,156,905,529,262,596/24,328,915
  6. Step 6: Final answer
    x = 47,552,697.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.