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Finding the Third Proportional to 65,429,792 and 99,061,680

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Solution

The third proportional to 65,429,792 and 99,061,680 is: 149,980,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,429,792 : 99,061,680 = 99,061,680 : x
  2. Step 2: Convert to fraction form
    65,429,792/99,061,680 = 99,061,680/x
  3. Step 3: Cross multiply
    65,429,792x = 99,061,680 × 99,061,680
  4. Step 4: Simplify right side
    65,429,792x = 9,813,216,444,422,400
  5. Step 5: Solve for x
    x = 9,813,216,444,422,400/65,429,792
  6. Step 6: Final answer
    x = 149,980,859.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.