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Finding the Third Proportional to 4,277,615.25 and 9,511,637.25

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Solution

The third proportional to 4,277,615.25 and 9,511,637.25 is: 21,149,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,615.25 : 9,511,637.25 = 9,511,637.25 : x
  2. Step 2: Convert to fraction form
    4,277,615.25/9,511,637.25 = 9,511,637.25/x
  3. Step 3: Cross multiply
    4,277,615.25x = 9,511,637.25 × 9,511,637.25
  4. Step 4: Simplify right side
    4,277,615.25x = 90,471,243,175,587.56
  5. Step 5: Solve for x
    x = 90,471,243,175,587.56/4,277,615.25
  6. Step 6: Final answer
    x = 21,149,925.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.