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Finding the Third Proportional to 67,132,511 and 103,664,340

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Solution

The third proportional to 67,132,511 and 103,664,340 is: 160,075,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,511 : 103,664,340 = 103,664,340 : x
  2. Step 2: Convert to fraction form
    67,132,511/103,664,340 = 103,664,340/x
  3. Step 3: Cross multiply
    67,132,511x = 103,664,340 × 103,664,340
  4. Step 4: Simplify right side
    67,132,511x = 10,746,295,387,635,600
  5. Step 5: Solve for x
    x = 10,746,295,387,635,600/67,132,511
  6. Step 6: Final answer
    x = 160,075,874.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.