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Finding the Third Proportional to 24,328,920 and 34,013,320.50

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Solution

The third proportional to 24,328,920 and 34,013,320.50 is: 47,552,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328,920 : 34,013,320.50 = 34,013,320.50 : x
  2. Step 2: Convert to fraction form
    24,328,920/34,013,320.50 = 34,013,320.50/x
  3. Step 3: Cross multiply
    24,328,920x = 34,013,320.50 × 34,013,320.50
  4. Step 4: Simplify right side
    24,328,920x = 1,156,905,971,435,720.25
  5. Step 5: Solve for x
    x = 1,156,905,971,435,720.25/24,328,920
  6. Step 6: Final answer
    x = 47,552,705.65

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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.