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Finding the Third Proportional to 47,960,439.50 and 74,232,514

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Solution

The third proportional to 47,960,439.50 and 74,232,514 is: 114,896,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,960,439.50 : 74,232,514 = 74,232,514 : x
  2. Step 2: Convert to fraction form
    47,960,439.50/74,232,514 = 74,232,514/x
  3. Step 3: Cross multiply
    47,960,439.50x = 74,232,514 × 74,232,514
  4. Step 4: Simplify right side
    47,960,439.50x = 5,510,466,134,760,196
  5. Step 5: Solve for x
    x = 5,510,466,134,760,196/47,960,439.50
  6. Step 6: Final answer
    x = 114,896,072.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.