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Finding the Third Proportional to 13,400,680 and 29,353,328

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Solution

The third proportional to 13,400,680 and 29,353,328 is: 64,296,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400,680 : 29,353,328 = 29,353,328 : x
  2. Step 2: Convert to fraction form
    13,400,680/29,353,328 = 29,353,328/x
  3. Step 3: Cross multiply
    13,400,680x = 29,353,328 × 29,353,328
  4. Step 4: Simplify right side
    13,400,680x = 861,617,864,675,584
  5. Step 5: Solve for x
    x = 861,617,864,675,584/13,400,680
  6. Step 6: Final answer
    x = 64,296,577.84

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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.