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Finding the Third Proportional to 45,917,724 and 99,906,447

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Solution

The third proportional to 45,917,724 and 99,906,447 is: 217,373,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,917,724 : 99,906,447 = 99,906,447 : x
  2. Step 2: Convert to fraction form
    45,917,724/99,906,447 = 99,906,447/x
  3. Step 3: Cross multiply
    45,917,724x = 99,906,447 × 99,906,447
  4. Step 4: Simplify right side
    45,917,724x = 9,981,298,152,163,808
  5. Step 5: Solve for x
    x = 9,981,298,152,163,808/45,917,724
  6. Step 6: Final answer
    x = 217,373,538.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.