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Finding the Third Proportional to 6,909,864 and 14,262,312

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Solution

The third proportional to 6,909,864 and 14,262,312 is: 29,438,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,864 : 14,262,312 = 14,262,312 : x
  2. Step 2: Convert to fraction form
    6,909,864/14,262,312 = 14,262,312/x
  3. Step 3: Cross multiply
    6,909,864x = 14,262,312 × 14,262,312
  4. Step 4: Simplify right side
    6,909,864x = 203,413,543,585,344
  5. Step 5: Solve for x
    x = 203,413,543,585,344/6,909,864
  6. Step 6: Final answer
    x = 29,438,139.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.