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Finding the Third Proportional to 67,132,640 and 103,664,539

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Solution

The third proportional to 67,132,640 and 103,664,539 is: 160,076,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,640 : 103,664,539 = 103,664,539 : x
  2. Step 2: Convert to fraction form
    67,132,640/103,664,539 = 103,664,539/x
  3. Step 3: Cross multiply
    67,132,640x = 103,664,539 × 103,664,539
  4. Step 4: Simplify right side
    67,132,640x = 10,746,336,646,082,520
  5. Step 5: Solve for x
    x = 10,746,336,646,082,520/67,132,640
  6. Step 6: Final answer
    x = 160,076,181.22

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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.