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Finding the Third Proportional to 31,060,064 and 66,103,408

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Solution

The third proportional to 31,060,064 and 66,103,408 is: 140,684,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060,064 : 66,103,408 = 66,103,408 : x
  2. Step 2: Convert to fraction form
    31,060,064/66,103,408 = 66,103,408/x
  3. Step 3: Cross multiply
    31,060,064x = 66,103,408 × 66,103,408
  4. Step 4: Simplify right side
    31,060,064x = 4,369,660,549,214,464
  5. Step 5: Solve for x
    x = 4,369,660,549,214,464/31,060,064
  6. Step 6: Final answer
    x = 140,684,209.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.