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Finding the Third Proportional to 13,285,376 and 28,608,320

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Solution

The third proportional to 13,285,376 and 28,608,320 is: 61,604,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285,376 : 28,608,320 = 28,608,320 : x
  2. Step 2: Convert to fraction form
    13,285,376/28,608,320 = 28,608,320/x
  3. Step 3: Cross multiply
    13,285,376x = 28,608,320 × 28,608,320
  4. Step 4: Simplify right side
    13,285,376x = 818,435,973,222,400
  5. Step 5: Solve for x
    x = 818,435,973,222,400/13,285,376
  6. Step 6: Final answer
    x = 61,604,276.25

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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.