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Finding the Third Proportional to 6,098,100 and 12,041,974

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Solution

The third proportional to 6,098,100 and 12,041,974 is: 23,779,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,100 : 12,041,974 = 12,041,974 : x
  2. Step 2: Convert to fraction form
    6,098,100/12,041,974 = 12,041,974/x
  3. Step 3: Cross multiply
    6,098,100x = 12,041,974 × 12,041,974
  4. Step 4: Simplify right side
    6,098,100x = 145,009,137,816,676
  5. Step 5: Solve for x
    x = 145,009,137,816,676/6,098,100
  6. Step 6: Final answer
    x = 23,779,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.