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Finding the Third Proportional to 29,103,570 and 48,503,029.50

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Solution

The third proportional to 29,103,570 and 48,503,029.50 is: 80,833,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,103,570 : 48,503,029.50 = 48,503,029.50 : x
  2. Step 2: Convert to fraction form
    29,103,570/48,503,029.50 = 48,503,029.50/x
  3. Step 3: Cross multiply
    29,103,570x = 48,503,029.50 × 48,503,029.50
  4. Step 4: Simplify right side
    29,103,570x = 2,352,543,870,677,870
  5. Step 5: Solve for x
    x = 2,352,543,870,677,870/29,103,570
  6. Step 6: Final answer
    x = 80,833,515.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.