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Finding the Third Proportional to 4,314,951 and 9,587,580.19

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Solution

The third proportional to 4,314,951 and 9,587,580.19 is: 21,303,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,951 : 9,587,580.19 = 9,587,580.19 : x
  2. Step 2: Convert to fraction form
    4,314,951/9,587,580.19 = 9,587,580.19/x
  3. Step 3: Cross multiply
    4,314,951x = 9,587,580.19 × 9,587,580.19
  4. Step 4: Simplify right side
    4,314,951x = 91,921,693,851,742.53
  5. Step 5: Solve for x
    x = 91,921,693,851,742.53/4,314,951
  6. Step 6: Final answer
    x = 21,303,067.83

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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.