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Finding the Third Proportional to 5,938,743 and 9,181,035

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Solution

The third proportional to 5,938,743 and 9,181,035 is: 14,193,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938,743 : 9,181,035 = 9,181,035 : x
  2. Step 2: Convert to fraction form
    5,938,743/9,181,035 = 9,181,035/x
  3. Step 3: Cross multiply
    5,938,743x = 9,181,035 × 9,181,035
  4. Step 4: Simplify right side
    5,938,743x = 84,291,403,671,225
  5. Step 5: Solve for x
    x = 84,291,403,671,225/5,938,743
  6. Step 6: Final answer
    x = 14,193,475.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.