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Finding the Third Proportional to 2,507,187 and 5,413,379

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Solution

The third proportional to 2,507,187 and 5,413,379 is: 11,688,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,187 : 5,413,379 = 5,413,379 : x
  2. Step 2: Convert to fraction form
    2,507,187/5,413,379 = 5,413,379/x
  3. Step 3: Cross multiply
    2,507,187x = 5,413,379 × 5,413,379
  4. Step 4: Simplify right side
    2,507,187x = 29,304,672,197,641
  5. Step 5: Solve for x
    x = 29,304,672,197,641/2,507,187
  6. Step 6: Final answer
    x = 11,688,267.45

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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.