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Finding the Third Proportional to 9,464,729.75 and 20,587,778

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Solution

The third proportional to 9,464,729.75 and 20,587,778 is: 44,782,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,729.75 : 20,587,778 = 20,587,778 : x
  2. Step 2: Convert to fraction form
    9,464,729.75/20,587,778 = 20,587,778/x
  3. Step 3: Cross multiply
    9,464,729.75x = 20,587,778 × 20,587,778
  4. Step 4: Simplify right side
    9,464,729.75x = 423,856,602,977,284
  5. Step 5: Solve for x
    x = 423,856,602,977,284/9,464,729.75
  6. Step 6: Final answer
    x = 44,782,747.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.