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Finding the Third Proportional to 10,458,422 and 22,653,506

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Solution

The third proportional to 10,458,422 and 22,653,506 is: 49,068,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458,422 : 22,653,506 = 22,653,506 : x
  2. Step 2: Convert to fraction form
    10,458,422/22,653,506 = 22,653,506/x
  3. Step 3: Cross multiply
    10,458,422x = 22,653,506 × 22,653,506
  4. Step 4: Simplify right side
    10,458,422x = 513,181,334,092,036
  5. Step 5: Solve for x
    x = 513,181,334,092,036/10,458,422
  6. Step 6: Final answer
    x = 49,068,715.54

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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.