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Finding the Third Proportional to 22,402,872 and 34,599,217.50

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Solution

The third proportional to 22,402,872 and 34,599,217.50 is: 53,435,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402,872 : 34,599,217.50 = 34,599,217.50 : x
  2. Step 2: Convert to fraction form
    22,402,872/34,599,217.50 = 34,599,217.50/x
  3. Step 3: Cross multiply
    22,402,872x = 34,599,217.50 × 34,599,217.50
  4. Step 4: Simplify right side
    22,402,872x = 1,197,105,851,612,306.25
  5. Step 5: Solve for x
    x = 1,197,105,851,612,306.25/22,402,872
  6. Step 6: Final answer
    x = 53,435,374.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.