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Finding the Third Proportional to 4,151,872.69 and 8,986,084.31

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Solution

The third proportional to 4,151,872.69 and 8,986,084.31 is: 19,448,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151,872.69 : 8,986,084.31 = 8,986,084.31 : x
  2. Step 2: Convert to fraction form
    4,151,872.69/8,986,084.31 = 8,986,084.31/x
  3. Step 3: Cross multiply
    4,151,872.69x = 8,986,084.31 × 8,986,084.31
  4. Step 4: Simplify right side
    4,151,872.69x = 80,749,711,271,358.59
  5. Step 5: Solve for x
    x = 80,749,711,271,358.59/4,151,872.69
  6. Step 6: Final answer
    x = 19,448,985.40

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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.