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Finding the Third Proportional to 47,202,750 and 72,900,364.50

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Solution

The third proportional to 47,202,750 and 72,900,364.50 is: 112,587,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202,750 : 72,900,364.50 = 72,900,364.50 : x
  2. Step 2: Convert to fraction form
    47,202,750/72,900,364.50 = 72,900,364.50/x
  3. Step 3: Cross multiply
    47,202,750x = 72,900,364.50 × 72,900,364.50
  4. Step 4: Simplify right side
    47,202,750x = 5,314,463,144,232,860
  5. Step 5: Solve for x
    x = 5,314,463,144,232,860/47,202,750
  6. Step 6: Final answer
    x = 112,587,998.46

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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.