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Finding the Third Proportional to 5,852,097.70 and 12,567,052.97

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Solution

The third proportional to 5,852,097.70 and 12,567,052.97 is: 26,987,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852,097.70 : 12,567,052.97 = 12,567,052.97 : x
  2. Step 2: Convert to fraction form
    5,852,097.70/12,567,052.97 = 12,567,052.97/x
  3. Step 3: Cross multiply
    5,852,097.70x = 12,567,052.97 × 12,567,052.97
  4. Step 4: Simplify right side
    5,852,097.70x = 157,930,820,319,368.19
  5. Step 5: Solve for x
    x = 157,930,820,319,368.19/5,852,097.70
  6. Step 6: Final answer
    x = 26,987,044.36

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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.