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Finding the Third Proportional to 42,674,769 and 60,981,315.75

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Solution

The third proportional to 42,674,769 and 60,981,315.75 is: 87,140,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,674,769 : 60,981,315.75 = 60,981,315.75 : x
  2. Step 2: Convert to fraction form
    42,674,769/60,981,315.75 = 60,981,315.75/x
  3. Step 3: Cross multiply
    42,674,769x = 60,981,315.75 × 60,981,315.75
  4. Step 4: Simplify right side
    42,674,769x = 3,718,720,870,601,198
  5. Step 5: Solve for x
    x = 3,718,720,870,601,198/42,674,769
  6. Step 6: Final answer
    x = 87,140,972.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.