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Finding the Third Proportional to 7,820,603 and 16,356,241

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Solution

The third proportional to 7,820,603 and 16,356,241 is: 34,207,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820,603 : 16,356,241 = 16,356,241 : x
  2. Step 2: Convert to fraction form
    7,820,603/16,356,241 = 16,356,241/x
  3. Step 3: Cross multiply
    7,820,603x = 16,356,241 × 16,356,241
  4. Step 4: Simplify right side
    7,820,603x = 267,526,619,650,081
  5. Step 5: Solve for x
    x = 267,526,619,650,081/7,820,603
  6. Step 6: Final answer
    x = 34,207,927.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.