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Finding the Third Proportional to 14,923,120 and 32,129,408

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Solution

The third proportional to 14,923,120 and 32,129,408 is: 69,174,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923,120 : 32,129,408 = 32,129,408 : x
  2. Step 2: Convert to fraction form
    14,923,120/32,129,408 = 32,129,408/x
  3. Step 3: Cross multiply
    14,923,120x = 32,129,408 × 32,129,408
  4. Step 4: Simplify right side
    14,923,120x = 1,032,298,858,430,464
  5. Step 5: Solve for x
    x = 1,032,298,858,430,464/14,923,120
  6. Step 6: Final answer
    x = 69,174,466.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.