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Finding the Third Proportional to 6,594,302 and 13,897,084

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Solution

The third proportional to 6,594,302 and 13,897,084 is: 29,287,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,302 : 13,897,084 = 13,897,084 : x
  2. Step 2: Convert to fraction form
    6,594,302/13,897,084 = 13,897,084/x
  3. Step 3: Cross multiply
    6,594,302x = 13,897,084 × 13,897,084
  4. Step 4: Simplify right side
    6,594,302x = 193,128,943,703,056
  5. Step 5: Solve for x
    x = 193,128,943,703,056/6,594,302
  6. Step 6: Final answer
    x = 29,287,245.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.