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Finding the Third Proportional to 6,782,988 and 14,744,040

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Solution

The third proportional to 6,782,988 and 14,744,040 is: 32,048,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,988 : 14,744,040 = 14,744,040 : x
  2. Step 2: Convert to fraction form
    6,782,988/14,744,040 = 14,744,040/x
  3. Step 3: Cross multiply
    6,782,988x = 14,744,040 × 14,744,040
  4. Step 4: Simplify right side
    6,782,988x = 217,386,715,521,600
  5. Step 5: Solve for x
    x = 217,386,715,521,600/6,782,988
  6. Step 6: Final answer
    x = 32,048,813.23

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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.