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Finding the Third Proportional to 67,470,752 and 103,661,351

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Solution

The third proportional to 67,470,752 and 103,661,351 is: 159,264,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470,752 : 103,661,351 = 103,661,351 : x
  2. Step 2: Convert to fraction form
    67,470,752/103,661,351 = 103,661,351/x
  3. Step 3: Cross multiply
    67,470,752x = 103,661,351 × 103,661,351
  4. Step 4: Simplify right side
    67,470,752x = 10,745,675,691,145,200
  5. Step 5: Solve for x
    x = 10,745,675,691,145,200/67,470,752
  6. Step 6: Final answer
    x = 159,264,205.19

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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.