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Finding the Third Proportional to 218,321,760.06 and 473,479,947.07

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Solution

The third proportional to 218,321,760.06 and 473,479,947.07 is: 1,026,847,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321,760.06 : 473,479,947.07 = 473,479,947.07 : x
  2. Step 2: Convert to fraction form
    218,321,760.06/473,479,947.07 = 473,479,947.07/x
  3. Step 3: Cross multiply
    218,321,760.06x = 473,479,947.07 × 473,479,947.07
  4. Step 4: Simplify right side
    218,321,760.06x = 224,183,260,277,713,024
  5. Step 5: Solve for x
    x = 224,183,260,277,713,024/218,321,760.06
  6. Step 6: Final answer
    x = 1,026,847,989.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.