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Finding the Third Proportional to 11,817,498 and 25,705,538.25

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Solution

The third proportional to 11,817,498 and 25,705,538.25 is: 55,914,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817,498 : 25,705,538.25 = 25,705,538.25 : x
  2. Step 2: Convert to fraction form
    11,817,498/25,705,538.25 = 25,705,538.25/x
  3. Step 3: Cross multiply
    11,817,498x = 25,705,538.25 × 25,705,538.25
  4. Step 4: Simplify right side
    11,817,498x = 660,774,696,722,213
  5. Step 5: Solve for x
    x = 660,774,696,722,213/11,817,498
  6. Step 6: Final answer
    x = 55,914,940.43

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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.