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Finding the Third Proportional to 13,800,963 and 29,947,686

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Solution

The third proportional to 13,800,963 and 29,947,686 is: 64,985,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800,963 : 29,947,686 = 29,947,686 : x
  2. Step 2: Convert to fraction form
    13,800,963/29,947,686 = 29,947,686/x
  3. Step 3: Cross multiply
    13,800,963x = 29,947,686 × 29,947,686
  4. Step 4: Simplify right side
    13,800,963x = 896,863,896,754,596
  5. Step 5: Solve for x
    x = 896,863,896,754,596/13,800,963
  6. Step 6: Final answer
    x = 64,985,602.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.