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Finding the Third Proportional to 6,875,809 and 14,187,438

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Solution

The third proportional to 6,875,809 and 14,187,438 is: 29,274,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,809 : 14,187,438 = 14,187,438 : x
  2. Step 2: Convert to fraction form
    6,875,809/14,187,438 = 14,187,438/x
  3. Step 3: Cross multiply
    6,875,809x = 14,187,438 × 14,187,438
  4. Step 4: Simplify right side
    6,875,809x = 201,283,397,003,844
  5. Step 5: Solve for x
    x = 201,283,397,003,844/6,875,809
  6. Step 6: Final answer
    x = 29,274,140.25

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.