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Finding the Third Proportional to 537,044,180 and 1,156,724,154

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Solution

The third proportional to 537,044,180 and 1,156,724,154 is: 2,491,435,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,044,180 : 1,156,724,154 = 1,156,724,154 : x
  2. Step 2: Convert to fraction form
    537,044,180/1,156,724,154 = 1,156,724,154/x
  3. Step 3: Cross multiply
    537,044,180x = 1,156,724,154 × 1,156,724,154
  4. Step 4: Simplify right side
    537,044,180x = 1,338,010,768,447,015,680
  5. Step 5: Solve for x
    x = 1,338,010,768,447,015,680/537,044,180
  6. Step 6: Final answer
    x = 2,491,435,189.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.