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Finding the Third Proportional to 49,134,069 and 77,070,217.50

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Solution

The third proportional to 49,134,069 and 77,070,217.50 is: 120,890,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134,069 : 77,070,217.50 = 77,070,217.50 : x
  2. Step 2: Convert to fraction form
    49,134,069/77,070,217.50 = 77,070,217.50/x
  3. Step 3: Cross multiply
    49,134,069x = 77,070,217.50 × 77,070,217.50
  4. Step 4: Simplify right side
    49,134,069x = 5,939,818,425,497,306
  5. Step 5: Solve for x
    x = 5,939,818,425,497,306/49,134,069
  6. Step 6: Final answer
    x = 120,890,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.