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Finding the Third Proportional to 4,727,196 and 10,373,472

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Solution

The third proportional to 4,727,196 and 10,373,472 is: 22,763,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727,196 : 10,373,472 = 10,373,472 : x
  2. Step 2: Convert to fraction form
    4,727,196/10,373,472 = 10,373,472/x
  3. Step 3: Cross multiply
    4,727,196x = 10,373,472 × 10,373,472
  4. Step 4: Simplify right side
    4,727,196x = 107,608,921,334,784
  5. Step 5: Solve for x
    x = 107,608,921,334,784/4,727,196
  6. Step 6: Final answer
    x = 22,763,795.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.