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Finding the Third Proportional to 6,757,972 and 14,705,720

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Solution

The third proportional to 6,757,972 and 14,705,720 is: 32,000,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,972 : 14,705,720 = 14,705,720 : x
  2. Step 2: Convert to fraction form
    6,757,972/14,705,720 = 14,705,720/x
  3. Step 3: Cross multiply
    6,757,972x = 14,705,720 × 14,705,720
  4. Step 4: Simplify right side
    6,757,972x = 216,258,200,718,400
  5. Step 5: Solve for x
    x = 216,258,200,718,400/6,757,972
  6. Step 6: Final answer
    x = 32,000,458.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.