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Finding the Third Proportional to 14,332,515 and 31,184,361

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Solution

The third proportional to 14,332,515 and 31,184,361 is: 67,850,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332,515 : 31,184,361 = 31,184,361 : x
  2. Step 2: Convert to fraction form
    14,332,515/31,184,361 = 31,184,361/x
  3. Step 3: Cross multiply
    14,332,515x = 31,184,361 × 31,184,361
  4. Step 4: Simplify right side
    14,332,515x = 972,464,370,978,321
  5. Step 5: Solve for x
    x = 972,464,370,978,321/14,332,515
  6. Step 6: Final answer
    x = 67,850,225.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.