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Finding the Third Proportional to 6,841,448 and 14,873,688

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Solution

The third proportional to 6,841,448 and 14,873,688 is: 32,336,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,448 : 14,873,688 = 14,873,688 : x
  2. Step 2: Convert to fraction form
    6,841,448/14,873,688 = 14,873,688/x
  3. Step 3: Cross multiply
    6,841,448x = 14,873,688 × 14,873,688
  4. Step 4: Simplify right side
    6,841,448x = 221,226,594,721,344
  5. Step 5: Solve for x
    x = 221,226,594,721,344/6,841,448
  6. Step 6: Final answer
    x = 32,336,223.96

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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.