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Finding the Third Proportional to 961,156,098 and 1,488,957,003

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Solution

The third proportional to 961,156,098 and 1,488,957,003 is: 2,306,589,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,156,098 : 1,488,957,003 = 1,488,957,003 : x
  2. Step 2: Convert to fraction form
    961,156,098/1,488,957,003 = 1,488,957,003/x
  3. Step 3: Cross multiply
    961,156,098x = 1,488,957,003 × 1,488,957,003
  4. Step 4: Simplify right side
    961,156,098x = 2,216,992,956,782,742,016
  5. Step 5: Solve for x
    x = 2,216,992,956,782,742,016/961,156,098
  6. Step 6: Final answer
    x = 2,306,589,909.17

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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.