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Finding the Third Proportional to 4,725,442 and 10,306,124

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Solution

The third proportional to 4,725,442 and 10,306,124 is: 22,477,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,442 : 10,306,124 = 10,306,124 : x
  2. Step 2: Convert to fraction form
    4,725,442/10,306,124 = 10,306,124/x
  3. Step 3: Cross multiply
    4,725,442x = 10,306,124 × 10,306,124
  4. Step 4: Simplify right side
    4,725,442x = 106,216,191,903,376
  5. Step 5: Solve for x
    x = 106,216,191,903,376/4,725,442
  6. Step 6: Final answer
    x = 22,477,514.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.