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Finding the Third Proportional to 67,132,668 and 103,664,582

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Solution

The third proportional to 67,132,668 and 103,664,582 is: 160,076,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,668 : 103,664,582 = 103,664,582 : x
  2. Step 2: Convert to fraction form
    67,132,668/103,664,582 = 103,664,582/x
  3. Step 3: Cross multiply
    67,132,668x = 103,664,582 × 103,664,582
  4. Step 4: Simplify right side
    67,132,668x = 10,746,345,561,234,724
  5. Step 5: Solve for x
    x = 10,746,345,561,234,724/67,132,668
  6. Step 6: Final answer
    x = 160,076,247.25

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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.