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Finding the Third Proportional to 10,177,432 and 21,949,146

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Solution

The third proportional to 10,177,432 and 21,949,146 is: 47,336,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177,432 : 21,949,146 = 21,949,146 : x
  2. Step 2: Convert to fraction form
    10,177,432/21,949,146 = 21,949,146/x
  3. Step 3: Cross multiply
    10,177,432x = 21,949,146 × 21,949,146
  4. Step 4: Simplify right side
    10,177,432x = 481,765,010,129,316
  5. Step 5: Solve for x
    x = 481,765,010,129,316/10,177,432
  6. Step 6: Final answer
    x = 47,336,598.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.