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Finding the Third Proportional to 4,725,429 and 10,306,101

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Solution

The third proportional to 4,725,429 and 10,306,101 is: 22,477,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,429 : 10,306,101 = 10,306,101 : x
  2. Step 2: Convert to fraction form
    4,725,429/10,306,101 = 10,306,101/x
  3. Step 3: Cross multiply
    4,725,429x = 10,306,101 × 10,306,101
  4. Step 4: Simplify right side
    4,725,429x = 106,215,717,822,201
  5. Step 5: Solve for x
    x = 106,215,717,822,201/4,725,429
  6. Step 6: Final answer
    x = 22,477,476.19

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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.