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Finding the Third Proportional to 4,282,643 and 9,270,949

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Solution

The third proportional to 4,282,643 and 9,270,949 is: 20,069,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,643 : 9,270,949 = 9,270,949 : x
  2. Step 2: Convert to fraction form
    4,282,643/9,270,949 = 9,270,949/x
  3. Step 3: Cross multiply
    4,282,643x = 9,270,949 × 9,270,949
  4. Step 4: Simplify right side
    4,282,643x = 85,950,495,360,601
  5. Step 5: Solve for x
    x = 85,950,495,360,601/4,282,643
  6. Step 6: Final answer
    x = 20,069,498.06

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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.