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Finding the Third Proportional to 4,102,993 and 9,497,687

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Solution

The third proportional to 4,102,993 and 9,497,687 is: 21,985,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,993 : 9,497,687 = 9,497,687 : x
  2. Step 2: Convert to fraction form
    4,102,993/9,497,687 = 9,497,687/x
  3. Step 3: Cross multiply
    4,102,993x = 9,497,687 × 9,497,687
  4. Step 4: Simplify right side
    4,102,993x = 90,206,058,349,969
  5. Step 5: Solve for x
    x = 90,206,058,349,969/4,102,993
  6. Step 6: Final answer
    x = 21,985,428.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.