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Finding the Third Proportional to 31,003,359 and 72,414,834

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Solution

The third proportional to 31,003,359 and 72,414,834 is: 169,140,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,359 : 72,414,834 = 72,414,834 : x
  2. Step 2: Convert to fraction form
    31,003,359/72,414,834 = 72,414,834/x
  3. Step 3: Cross multiply
    31,003,359x = 72,414,834 × 72,414,834
  4. Step 4: Simplify right side
    31,003,359x = 5,243,908,183,247,556
  5. Step 5: Solve for x
    x = 5,243,908,183,247,556/31,003,359
  6. Step 6: Final answer
    x = 169,140,001.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.