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Finding the Third Proportional to 10,422,024 and 22,638,159.38

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Solution

The third proportional to 10,422,024 and 22,638,159.38 is: 49,173,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,024 : 22,638,159.38 = 22,638,159.38 : x
  2. Step 2: Convert to fraction form
    10,422,024/22,638,159.38 = 22,638,159.38/x
  3. Step 3: Cross multiply
    10,422,024x = 22,638,159.38 × 22,638,159.38
  4. Step 4: Simplify right side
    10,422,024x = 512,486,259,887,900.38
  5. Step 5: Solve for x
    x = 512,486,259,887,900.38/10,422,024
  6. Step 6: Final answer
    x = 49,173,390.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.