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Finding the Third Proportional to 6,841,422 and 14,873,630

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Solution

The third proportional to 6,841,422 and 14,873,630 is: 32,336,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,422 : 14,873,630 = 14,873,630 : x
  2. Step 2: Convert to fraction form
    6,841,422/14,873,630 = 14,873,630/x
  3. Step 3: Cross multiply
    6,841,422x = 14,873,630 × 14,873,630
  4. Step 4: Simplify right side
    6,841,422x = 221,224,869,376,900
  5. Step 5: Solve for x
    x = 221,224,869,376,900/6,841,422
  6. Step 6: Final answer
    x = 32,336,094.66

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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.