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Finding the Third Proportional to 5,770,822 and 12,342,140

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Solution

The third proportional to 5,770,822 and 12,342,140 is: 26,396,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770,822 : 12,342,140 = 12,342,140 : x
  2. Step 2: Convert to fraction form
    5,770,822/12,342,140 = 12,342,140/x
  3. Step 3: Cross multiply
    5,770,822x = 12,342,140 × 12,342,140
  4. Step 4: Simplify right side
    5,770,822x = 152,328,419,779,600
  5. Step 5: Solve for x
    x = 152,328,419,779,600/5,770,822
  6. Step 6: Final answer
    x = 26,396,312.31

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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.