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Finding the Third Proportional to 22,564,642.50 and 48,720,339

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Solution

The third proportional to 22,564,642.50 and 48,720,339 is: 105,194,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564,642.50 : 48,720,339 = 48,720,339 : x
  2. Step 2: Convert to fraction form
    22,564,642.50/48,720,339 = 48,720,339/x
  3. Step 3: Cross multiply
    22,564,642.50x = 48,720,339 × 48,720,339
  4. Step 4: Simplify right side
    22,564,642.50x = 2,373,671,432,274,921
  5. Step 5: Solve for x
    x = 2,373,671,432,274,921/22,564,642.50
  6. Step 6: Final answer
    x = 105,194,284.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.