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Finding the Third Proportional to 6,519,248 and 14,640,352

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Solution

The third proportional to 6,519,248 and 14,640,352 is: 32,878,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,248 : 14,640,352 = 14,640,352 : x
  2. Step 2: Convert to fraction form
    6,519,248/14,640,352 = 14,640,352/x
  3. Step 3: Cross multiply
    6,519,248x = 14,640,352 × 14,640,352
  4. Step 4: Simplify right side
    6,519,248x = 214,339,906,683,904
  5. Step 5: Solve for x
    x = 214,339,906,683,904/6,519,248
  6. Step 6: Final answer
    x = 32,878,010.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.