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Finding the Third Proportional to 45,271,438 and 98,063,767

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Solution

The third proportional to 45,271,438 and 98,063,767 is: 212,418,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,271,438 : 98,063,767 = 98,063,767 : x
  2. Step 2: Convert to fraction form
    45,271,438/98,063,767 = 98,063,767/x
  3. Step 3: Cross multiply
    45,271,438x = 98,063,767 × 98,063,767
  4. Step 4: Simplify right side
    45,271,438x = 9,616,502,398,230,288
  5. Step 5: Solve for x
    x = 9,616,502,398,230,288/45,271,438
  6. Step 6: Final answer
    x = 212,418,752.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.