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Finding the Third Proportional to 37,223,471 and 81,794,430

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Solution

The third proportional to 37,223,471 and 81,794,430 is: 179,734,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,223,471 : 81,794,430 = 81,794,430 : x
  2. Step 2: Convert to fraction form
    37,223,471/81,794,430 = 81,794,430/x
  3. Step 3: Cross multiply
    37,223,471x = 81,794,430 × 81,794,430
  4. Step 4: Simplify right side
    37,223,471x = 6,690,328,779,024,900
  5. Step 5: Solve for x
    x = 6,690,328,779,024,900/37,223,471
  6. Step 6: Final answer
    x = 179,734,146.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.