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Finding the Third Proportional to 69,657,414 and 162,661,785

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Solution

The third proportional to 69,657,414 and 162,661,785 is: 379,842,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,657,414 : 162,661,785 = 162,661,785 : x
  2. Step 2: Convert to fraction form
    69,657,414/162,661,785 = 162,661,785/x
  3. Step 3: Cross multiply
    69,657,414x = 162,661,785 × 162,661,785
  4. Step 4: Simplify right side
    69,657,414x = 26,458,856,299,386,224
  5. Step 5: Solve for x
    x = 26,458,856,299,386,224/69,657,414
  6. Step 6: Final answer
    x = 379,842,643.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.