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Finding the Third Proportional to 20,922,384 and 45,147,612

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Solution

The third proportional to 20,922,384 and 45,147,612 is: 97,422,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922,384 : 45,147,612 = 45,147,612 : x
  2. Step 2: Convert to fraction form
    20,922,384/45,147,612 = 45,147,612/x
  3. Step 3: Cross multiply
    20,922,384x = 45,147,612 × 45,147,612
  4. Step 4: Simplify right side
    20,922,384x = 2,038,306,869,302,544
  5. Step 5: Solve for x
    x = 2,038,306,869,302,544/20,922,384
  6. Step 6: Final answer
    x = 97,422,304.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.