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Finding the Third Proportional to 67,132,636 and 103,664,533

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Solution

The third proportional to 67,132,636 and 103,664,533 is: 160,076,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,636 : 103,664,533 = 103,664,533 : x
  2. Step 2: Convert to fraction form
    67,132,636/103,664,533 = 103,664,533/x
  3. Step 3: Cross multiply
    67,132,636x = 103,664,533 × 103,664,533
  4. Step 4: Simplify right side
    67,132,636x = 10,746,335,402,108,088
  5. Step 5: Solve for x
    x = 10,746,335,402,108,088/67,132,636
  6. Step 6: Final answer
    x = 160,076,172.22

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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.