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Finding the Third Proportional to 24,328,922.50 and 34,013,324

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Solution

The third proportional to 24,328,922.50 and 34,013,324 is: 47,552,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328,922.50 : 34,013,324 = 34,013,324 : x
  2. Step 2: Convert to fraction form
    24,328,922.50/34,013,324 = 34,013,324/x
  3. Step 3: Cross multiply
    24,328,922.50x = 34,013,324 × 34,013,324
  4. Step 4: Simplify right side
    24,328,922.50x = 1,156,906,209,528,976
  5. Step 5: Solve for x
    x = 1,156,906,209,528,976/24,328,922.50
  6. Step 6: Final answer
    x = 47,552,710.55

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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.