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Finding the Third Proportional to 6,248,064 and 13,641,792

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Solution

The third proportional to 6,248,064 and 13,641,792 is: 29,784,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248,064 : 13,641,792 = 13,641,792 : x
  2. Step 2: Convert to fraction form
    6,248,064/13,641,792 = 13,641,792/x
  3. Step 3: Cross multiply
    6,248,064x = 13,641,792 × 13,641,792
  4. Step 4: Simplify right side
    6,248,064x = 186,098,488,971,264
  5. Step 5: Solve for x
    x = 186,098,488,971,264/6,248,064
  6. Step 6: Final answer
    x = 29,784,984.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.