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Finding the Third Proportional to 67,470,750 and 103,661,348

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Solution

The third proportional to 67,470,750 and 103,661,348 is: 159,264,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,750 : 103,661,348 = 103,661,348 : x
  2. Step 2: Convert to fraction form
    67,470,750/103,661,348 = 103,661,348/x
  3. Step 3: Cross multiply
    67,470,750x = 103,661,348 × 103,661,348
  4. Step 4: Simplify right side
    67,470,750x = 10,745,675,069,177,104
  5. Step 5: Solve for x
    x = 10,745,675,069,177,104/67,470,750
  6. Step 6: Final answer
    x = 159,264,200.70

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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.