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Finding the Third Proportional to 5,763,565 and 9,041,012

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Solution

The third proportional to 5,763,565 and 9,041,012 is: 14,182,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763,565 : 9,041,012 = 9,041,012 : x
  2. Step 2: Convert to fraction form
    5,763,565/9,041,012 = 9,041,012/x
  3. Step 3: Cross multiply
    5,763,565x = 9,041,012 × 9,041,012
  4. Step 4: Simplify right side
    5,763,565x = 81,739,897,984,144
  5. Step 5: Solve for x
    x = 81,739,897,984,144/5,763,565
  6. Step 6: Final answer
    x = 14,182,176.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.