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Finding the Third Proportional to 6,098,098 and 12,041,972

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Solution

The third proportional to 6,098,098 and 12,041,972 is: 23,779,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,098 : 12,041,972 = 12,041,972 : x
  2. Step 2: Convert to fraction form
    6,098,098/12,041,972 = 12,041,972/x
  3. Step 3: Cross multiply
    6,098,098x = 12,041,972 × 12,041,972
  4. Step 4: Simplify right side
    6,098,098x = 145,009,089,648,784
  5. Step 5: Solve for x
    x = 145,009,089,648,784/6,098,098
  6. Step 6: Final answer
    x = 23,779,396.40

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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.