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Finding the Third Proportional to 10,409,906 and 22,557,250

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Solution

The third proportional to 10,409,906 and 22,557,250 is: 48,879,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,906 : 22,557,250 = 22,557,250 : x
  2. Step 2: Convert to fraction form
    10,409,906/22,557,250 = 22,557,250/x
  3. Step 3: Cross multiply
    10,409,906x = 22,557,250 × 22,557,250
  4. Step 4: Simplify right side
    10,409,906x = 508,829,527,562,500
  5. Step 5: Solve for x
    x = 508,829,527,562,500/10,409,906
  6. Step 6: Final answer
    x = 48,879,358.52

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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.