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Finding the Third Proportional to 39,527,567 and 85,653,039

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Solution

The third proportional to 39,527,567 and 85,653,039 is: 185,603,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,527,567 : 85,653,039 = 85,653,039 : x
  2. Step 2: Convert to fraction form
    39,527,567/85,653,039 = 85,653,039/x
  3. Step 3: Cross multiply
    39,527,567x = 85,653,039 × 85,653,039
  4. Step 4: Simplify right side
    39,527,567x = 7,336,443,089,935,521
  5. Step 5: Solve for x
    x = 7,336,443,089,935,521/39,527,567
  6. Step 6: Final answer
    x = 185,603,204.21

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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.