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Finding the Third Proportional to 10,146,866 and 14,856,267

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Solution

The third proportional to 10,146,866 and 14,856,267 is: 21,751,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146,866 : 14,856,267 = 14,856,267 : x
  2. Step 2: Convert to fraction form
    10,146,866/14,856,267 = 14,856,267/x
  3. Step 3: Cross multiply
    10,146,866x = 14,856,267 × 14,856,267
  4. Step 4: Simplify right side
    10,146,866x = 220,708,669,175,289
  5. Step 5: Solve for x
    x = 220,708,669,175,289/10,146,866
  6. Step 6: Final answer
    x = 21,751,412.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.