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Finding the Third Proportional to 45,479,983.50 and 69,976,570.50

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Solution

The third proportional to 45,479,983.50 and 69,976,570.50 is: 107,667,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,479,983.50 : 69,976,570.50 = 69,976,570.50 : x
  2. Step 2: Convert to fraction form
    45,479,983.50/69,976,570.50 = 69,976,570.50/x
  3. Step 3: Cross multiply
    45,479,983.50x = 69,976,570.50 × 69,976,570.50
  4. Step 4: Simplify right side
    45,479,983.50x = 4,896,720,418,941,470
  5. Step 5: Solve for x
    x = 4,896,720,418,941,470/45,479,983.50
  6. Step 6: Final answer
    x = 107,667,594.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.