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Finding the Third Proportional to 45,942,352.50 and 71,172,295.50

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Solution

The third proportional to 45,942,352.50 and 71,172,295.50 is: 110,257,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,942,352.50 : 71,172,295.50 = 71,172,295.50 : x
  2. Step 2: Convert to fraction form
    45,942,352.50/71,172,295.50 = 71,172,295.50/x
  3. Step 3: Cross multiply
    45,942,352.50x = 71,172,295.50 × 71,172,295.50
  4. Step 4: Simplify right side
    45,942,352.50x = 5,065,495,646,739,320
  5. Step 5: Solve for x
    x = 5,065,495,646,739,320/45,942,352.50
  6. Step 6: Final answer
    x = 110,257,646.18

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