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Finding the Third Proportional to 34,170,579 and 73,711,215

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Solution

The third proportional to 34,170,579 and 73,711,215 is: 159,006,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170,579 : 73,711,215 = 73,711,215 : x
  2. Step 2: Convert to fraction form
    34,170,579/73,711,215 = 73,711,215/x
  3. Step 3: Cross multiply
    34,170,579x = 73,711,215 × 73,711,215
  4. Step 4: Simplify right side
    34,170,579x = 5,433,343,216,776,225
  5. Step 5: Solve for x
    x = 5,433,343,216,776,225/34,170,579
  6. Step 6: Final answer
    x = 159,006,472.11

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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.