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Finding the Third Proportional to 67,470,716 and 103,661,297

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Solution

The third proportional to 67,470,716 and 103,661,297 is: 159,264,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,716 : 103,661,297 = 103,661,297 : x
  2. Step 2: Convert to fraction form
    67,470,716/103,661,297 = 103,661,297/x
  3. Step 3: Cross multiply
    67,470,716x = 103,661,297 × 103,661,297
  4. Step 4: Simplify right side
    67,470,716x = 10,745,664,495,722,208
  5. Step 5: Solve for x
    x = 10,745,664,495,722,208/67,470,716
  6. Step 6: Final answer
    x = 159,264,124.24

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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.