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Finding the Third Proportional to 34,284,605 and 73,218,909.50

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Solution

The third proportional to 34,284,605 and 73,218,909.50 is: 156,367,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284,605 : 73,218,909.50 = 73,218,909.50 : x
  2. Step 2: Convert to fraction form
    34,284,605/73,218,909.50 = 73,218,909.50/x
  3. Step 3: Cross multiply
    34,284,605x = 73,218,909.50 × 73,218,909.50
  4. Step 4: Simplify right side
    34,284,605x = 5,361,008,708,369,190
  5. Step 5: Solve for x
    x = 5,361,008,708,369,190/34,284,605
  6. Step 6: Final answer
    x = 156,367,813.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.