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Finding the Third Proportional to 47,960,438.50 and 74,232,512.50

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Solution

The third proportional to 47,960,438.50 and 74,232,512.50 is: 114,896,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,960,438.50 : 74,232,512.50 = 74,232,512.50 : x
  2. Step 2: Convert to fraction form
    47,960,438.50/74,232,512.50 = 74,232,512.50/x
  3. Step 3: Cross multiply
    47,960,438.50x = 74,232,512.50 × 74,232,512.50
  4. Step 4: Simplify right side
    47,960,438.50x = 5,510,465,912,062,656
  5. Step 5: Solve for x
    x = 5,510,465,912,062,656/47,960,438.50
  6. Step 6: Final answer
    x = 114,896,070.27

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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.