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Finding the Third Proportional to 65,498,068,422 and 100,613,046,060

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Solution

The third proportional to 65,498,068,422 and 100,613,046,060 is: 154,553,947,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498,068,422 : 100,613,046,060 = 100,613,046,060 : x
  2. Step 2: Convert to fraction form
    65,498,068,422/100,613,046,060 = 100,613,046,060/x
  3. Step 3: Cross multiply
    65,498,068,422x = 100,613,046,060 × 100,613,046,060
  4. Step 4: Simplify right side
    65,498,068,422x = 10,122,985,037,471,680,561,152
  5. Step 5: Solve for x
    x = 10,122,985,037,471,680,561,152/65,498,068,422
  6. Step 6: Final answer
    x = 154,553,947,640.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.