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Finding the Third Proportional to 34,581,382 and 74,291,292

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Solution

The third proportional to 34,581,382 and 74,291,292 is: 159,600,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581,382 : 74,291,292 = 74,291,292 : x
  2. Step 2: Convert to fraction form
    34,581,382/74,291,292 = 74,291,292/x
  3. Step 3: Cross multiply
    34,581,382x = 74,291,292 × 74,291,292
  4. Step 4: Simplify right side
    34,581,382x = 5,519,196,067,029,264
  5. Step 5: Solve for x
    x = 5,519,196,067,029,264/34,581,382
  6. Step 6: Final answer
    x = 159,600,216.87

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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.