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Finding the Third Proportional to 34,359,192 and 74,098,416

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Solution

The third proportional to 34,359,192 and 74,098,416 is: 159,799,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359,192 : 74,098,416 = 74,098,416 : x
  2. Step 2: Convert to fraction form
    34,359,192/74,098,416 = 74,098,416/x
  3. Step 3: Cross multiply
    34,359,192x = 74,098,416 × 74,098,416
  4. Step 4: Simplify right side
    34,359,192x = 5,490,575,253,709,056
  5. Step 5: Solve for x
    x = 5,490,575,253,709,056/34,359,192
  6. Step 6: Final answer
    x = 159,799,312.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.