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Finding the Third Proportional to 23,144,073 and 31,523,306.25

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Solution

The third proportional to 23,144,073 and 31,523,306.25 is: 42,936,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144,073 : 31,523,306.25 = 31,523,306.25 : x
  2. Step 2: Convert to fraction form
    23,144,073/31,523,306.25 = 31,523,306.25/x
  3. Step 3: Cross multiply
    23,144,073x = 31,523,306.25 × 31,523,306.25
  4. Step 4: Simplify right side
    23,144,073x = 993,718,836,931,289
  5. Step 5: Solve for x
    x = 993,718,836,931,289/23,144,073
  6. Step 6: Final answer
    x = 42,936,212.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.