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Finding the Third Proportional to 6,819,658 and 14,923,624

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Solution

The third proportional to 6,819,658 and 14,923,624 is: 32,657,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819,658 : 14,923,624 = 14,923,624 : x
  2. Step 2: Convert to fraction form
    6,819,658/14,923,624 = 14,923,624/x
  3. Step 3: Cross multiply
    6,819,658x = 14,923,624 × 14,923,624
  4. Step 4: Simplify right side
    6,819,658x = 222,714,553,293,376
  5. Step 5: Solve for x
    x = 222,714,553,293,376/6,819,658
  6. Step 6: Final answer
    x = 32,657,730.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.