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Finding the Third Proportional to 10,146,856 and 14,856,252

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Solution

The third proportional to 10,146,856 and 14,856,252 is: 21,751,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146,856 : 14,856,252 = 14,856,252 : x
  2. Step 2: Convert to fraction form
    10,146,856/14,856,252 = 14,856,252/x
  3. Step 3: Cross multiply
    10,146,856x = 14,856,252 × 14,856,252
  4. Step 4: Simplify right side
    10,146,856x = 220,708,223,487,504
  5. Step 5: Solve for x
    x = 220,708,223,487,504/10,146,856
  6. Step 6: Final answer
    x = 21,751,390.13

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Why These Related Problems?

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