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Finding the Third Proportional to 4,575,646 and 9,948,092

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Solution

The third proportional to 4,575,646 and 9,948,092 is: 21,628,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575,646 : 9,948,092 = 9,948,092 : x
  2. Step 2: Convert to fraction form
    4,575,646/9,948,092 = 9,948,092/x
  3. Step 3: Cross multiply
    4,575,646x = 9,948,092 × 9,948,092
  4. Step 4: Simplify right side
    4,575,646x = 98,964,534,440,464
  5. Step 5: Solve for x
    x = 98,964,534,440,464/4,575,646
  6. Step 6: Final answer
    x = 21,628,538.23

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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.