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Finding the Third Proportional to 48,462,364.50 and 72,729,024.75

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Solution

The third proportional to 48,462,364.50 and 72,729,024.75 is: 109,146,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,462,364.50 : 72,729,024.75 = 72,729,024.75 : x
  2. Step 2: Convert to fraction form
    48,462,364.50/72,729,024.75 = 72,729,024.75/x
  3. Step 3: Cross multiply
    48,462,364.50x = 72,729,024.75 × 72,729,024.75
  4. Step 4: Simplify right side
    48,462,364.50x = 5,289,511,041,086,113
  5. Step 5: Solve for x
    x = 5,289,511,041,086,113/48,462,364.50
  6. Step 6: Final answer
    x = 109,146,780.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.