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Finding the Third Proportional to 13,866,084 and 30,918,627

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Solution

The third proportional to 13,866,084 and 30,918,627 is: 68,942,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866,084 : 30,918,627 = 30,918,627 : x
  2. Step 2: Convert to fraction form
    13,866,084/30,918,627 = 30,918,627/x
  3. Step 3: Cross multiply
    13,866,084x = 30,918,627 × 30,918,627
  4. Step 4: Simplify right side
    13,866,084x = 955,961,495,565,129
  5. Step 5: Solve for x
    x = 955,961,495,565,129/13,866,084
  6. Step 6: Final answer
    x = 68,942,427.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.