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Finding the Third Proportional to 67,132,621 and 103,664,511

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Solution

The third proportional to 67,132,621 and 103,664,511 is: 160,076,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,621 : 103,664,511 = 103,664,511 : x
  2. Step 2: Convert to fraction form
    67,132,621/103,664,511 = 103,664,511/x
  3. Step 3: Cross multiply
    67,132,621x = 103,664,511 × 103,664,511
  4. Step 4: Simplify right side
    67,132,621x = 10,746,330,840,869,120
  5. Step 5: Solve for x
    x = 10,746,330,840,869,120/67,132,621
  6. Step 6: Final answer
    x = 160,076,140.05

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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.