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Finding the Third Proportional to 83,974,529,972 and 185,065,743,592

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Solution

The third proportional to 83,974,529,972 and 185,065,743,592 is: 407,853,779,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974,529,972 : 185,065,743,592 = 185,065,743,592 : x
  2. Step 2: Convert to fraction form
    83,974,529,972/185,065,743,592 = 185,065,743,592/x
  3. Step 3: Cross multiply
    83,974,529,972x = 185,065,743,592 × 185,065,743,592
  4. Step 4: Simplify right side
    83,974,529,972x = 34,249,329,451,259,888,926,720
  5. Step 5: Solve for x
    x = 34,249,329,451,259,888,926,720/83,974,529,972
  6. Step 6: Final answer
    x = 407,853,779,743.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.