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Finding the Third Proportional to 2,693,529.70 and 5,910,897.16

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Solution

The third proportional to 2,693,529.70 and 5,910,897.16 is: 12,971,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,529.70 : 5,910,897.16 = 5,910,897.16 : x
  2. Step 2: Convert to fraction form
    2,693,529.70/5,910,897.16 = 5,910,897.16/x
  3. Step 3: Cross multiply
    2,693,529.70x = 5,910,897.16 × 5,910,897.16
  4. Step 4: Simplify right side
    2,693,529.70x = 34,938,705,284,122.11
  5. Step 5: Solve for x
    x = 34,938,705,284,122.11/2,693,529.70
  6. Step 6: Final answer
    x = 12,971,345.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.