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Finding the Third Proportional to 10,012,418 and 21,442,012

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Solution

The third proportional to 10,012,418 and 21,442,012 is: 45,918,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,418 : 21,442,012 = 21,442,012 : x
  2. Step 2: Convert to fraction form
    10,012,418/21,442,012 = 21,442,012/x
  3. Step 3: Cross multiply
    10,012,418x = 21,442,012 × 21,442,012
  4. Step 4: Simplify right side
    10,012,418x = 459,759,878,608,144
  5. Step 5: Solve for x
    x = 459,759,878,608,144/10,012,418
  6. Step 6: Final answer
    x = 45,918,965.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.