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Finding the Third Proportional to 67,204,352 and 105,598,427

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Solution

The third proportional to 67,204,352 and 105,598,427 is: 165,927,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,204,352 : 105,598,427 = 105,598,427 : x
  2. Step 2: Convert to fraction form
    67,204,352/105,598,427 = 105,598,427/x
  3. Step 3: Cross multiply
    67,204,352x = 105,598,427 × 105,598,427
  4. Step 4: Simplify right side
    67,204,352x = 11,151,027,784,874,328
  5. Step 5: Solve for x
    x = 11,151,027,784,874,328/67,204,352
  6. Step 6: Final answer
    x = 165,927,167.71

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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.