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Finding the Third Proportional to 9,125,856 and 12,759,264

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Solution

The third proportional to 9,125,856 and 12,759,264 is: 17,839,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125,856 : 12,759,264 = 12,759,264 : x
  2. Step 2: Convert to fraction form
    9,125,856/12,759,264 = 12,759,264/x
  3. Step 3: Cross multiply
    9,125,856x = 12,759,264 × 12,759,264
  4. Step 4: Simplify right side
    9,125,856x = 162,798,817,821,696
  5. Step 5: Solve for x
    x = 162,798,817,821,696/9,125,856
  6. Step 6: Final answer
    x = 17,839,292.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.