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Finding the Third Proportional to 4,282,641 and 9,270,945

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Solution

The third proportional to 4,282,641 and 9,270,945 is: 20,069,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,641 : 9,270,945 = 9,270,945 : x
  2. Step 2: Convert to fraction form
    4,282,641/9,270,945 = 9,270,945/x
  3. Step 3: Cross multiply
    4,282,641x = 9,270,945 × 9,270,945
  4. Step 4: Simplify right side
    4,282,641x = 85,950,421,193,025
  5. Step 5: Solve for x
    x = 85,950,421,193,025/4,282,641
  6. Step 6: Final answer
    x = 20,069,490.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.