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Finding the Third Proportional to 65,498,068,432 and 100,613,046,072

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Solution

The third proportional to 65,498,068,432 and 100,613,046,072 is: 154,553,947,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498,068,432 : 100,613,046,072 = 100,613,046,072 : x
  2. Step 2: Convert to fraction form
    65,498,068,432/100,613,046,072 = 100,613,046,072/x
  3. Step 3: Cross multiply
    65,498,068,432x = 100,613,046,072 × 100,613,046,072
  4. Step 4: Simplify right side
    65,498,068,432x = 10,122,985,039,886,393,802,752
  5. Step 5: Solve for x
    x = 10,122,985,039,886,393,802,752/65,498,068,432
  6. Step 6: Final answer
    x = 154,553,947,654.14

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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.