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Finding the Third Proportional to 13,663,284 and 29,352,648

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Solution

The third proportional to 13,663,284 and 29,352,648 is: 63,057,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663,284 : 29,352,648 = 29,352,648 : x
  2. Step 2: Convert to fraction form
    13,663,284/29,352,648 = 29,352,648/x
  3. Step 3: Cross multiply
    13,663,284x = 29,352,648 × 29,352,648
  4. Step 4: Simplify right side
    13,663,284x = 861,577,944,611,904
  5. Step 5: Solve for x
    x = 861,577,944,611,904/13,663,284
  6. Step 6: Final answer
    x = 63,057,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.