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Finding the Third Proportional to 10,458,521 and 22,653,694

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Solution

The third proportional to 10,458,521 and 22,653,694 is: 49,069,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458,521 : 22,653,694 = 22,653,694 : x
  2. Step 2: Convert to fraction form
    10,458,521/22,653,694 = 22,653,694/x
  3. Step 3: Cross multiply
    10,458,521x = 22,653,694 × 22,653,694
  4. Step 4: Simplify right side
    10,458,521x = 513,189,851,845,636
  5. Step 5: Solve for x
    x = 513,189,851,845,636/10,458,521
  6. Step 6: Final answer
    x = 49,069,065.49

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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.