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Finding the Third Proportional to 14,181,588 and 31,120,416

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Solution

The third proportional to 14,181,588 and 31,120,416 is: 68,291,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181,588 : 31,120,416 = 31,120,416 : x
  2. Step 2: Convert to fraction form
    14,181,588/31,120,416 = 31,120,416/x
  3. Step 3: Cross multiply
    14,181,588x = 31,120,416 × 31,120,416
  4. Step 4: Simplify right side
    14,181,588x = 968,480,292,013,056
  5. Step 5: Solve for x
    x = 968,480,292,013,056/14,181,588
  6. Step 6: Final answer
    x = 68,291,385.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.