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Finding the Third Proportional to 3,670,198 and 7,871,746

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Solution

The third proportional to 3,670,198 and 7,871,746 is: 16,883,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,198 : 7,871,746 = 7,871,746 : x
  2. Step 2: Convert to fraction form
    3,670,198/7,871,746 = 7,871,746/x
  3. Step 3: Cross multiply
    3,670,198x = 7,871,746 × 7,871,746
  4. Step 4: Simplify right side
    3,670,198x = 61,964,385,088,516
  5. Step 5: Solve for x
    x = 61,964,385,088,516/3,670,198
  6. Step 6: Final answer
    x = 16,883,117.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.