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Finding the Third Proportional to 67,132,672 and 103,664,588

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Solution

The third proportional to 67,132,672 and 103,664,588 is: 160,076,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,672 : 103,664,588 = 103,664,588 : x
  2. Step 2: Convert to fraction form
    67,132,672/103,664,588 = 103,664,588/x
  3. Step 3: Cross multiply
    67,132,672x = 103,664,588 × 103,664,588
  4. Step 4: Simplify right side
    67,132,672x = 10,746,346,805,209,744
  5. Step 5: Solve for x
    x = 10,746,346,805,209,744/67,132,672
  6. Step 6: Final answer
    x = 160,076,256.24

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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.