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Finding the Third Proportional to 4,725,440 and 10,306,120

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Solution

The third proportional to 4,725,440 and 10,306,120 is: 22,477,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,440 : 10,306,120 = 10,306,120 : x
  2. Step 2: Convert to fraction form
    4,725,440/10,306,120 = 10,306,120/x
  3. Step 3: Cross multiply
    4,725,440x = 10,306,120 × 10,306,120
  4. Step 4: Simplify right side
    4,725,440x = 106,216,109,454,400
  5. Step 5: Solve for x
    x = 106,216,109,454,400/4,725,440
  6. Step 6: Final answer
    x = 22,477,506.74

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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.