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Finding the Third Proportional to 537,044,202 and 1,156,724,196

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Solution

The third proportional to 537,044,202 and 1,156,724,196 is: 2,491,435,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,044,202 : 1,156,724,196 = 1,156,724,196 : x
  2. Step 2: Convert to fraction form
    537,044,202/1,156,724,196 = 1,156,724,196/x
  3. Step 3: Cross multiply
    537,044,202x = 1,156,724,196 × 1,156,724,196
  4. Step 4: Simplify right side
    537,044,202x = 1,338,010,865,611,846,400
  5. Step 5: Solve for x
    x = 1,338,010,865,611,846,400/537,044,202
  6. Step 6: Final answer
    x = 2,491,435,268.51

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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.