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Finding the Third Proportional to 75,347,064 and 113,572,692

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Solution

The third proportional to 75,347,064 and 113,572,692 is: 171,191,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,347,064 : 113,572,692 = 113,572,692 : x
  2. Step 2: Convert to fraction form
    75,347,064/113,572,692 = 113,572,692/x
  3. Step 3: Cross multiply
    75,347,064x = 113,572,692 × 113,572,692
  4. Step 4: Simplify right side
    75,347,064x = 12,898,756,368,126,864
  5. Step 5: Solve for x
    x = 12,898,756,368,126,864/75,347,064
  6. Step 6: Final answer
    x = 171,191,227.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.