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Finding the Third Proportional to 5,280,762 and 11,319,423

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Solution

The third proportional to 5,280,762 and 11,319,423 is: 24,263,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,762 : 11,319,423 = 11,319,423 : x
  2. Step 2: Convert to fraction form
    5,280,762/11,319,423 = 11,319,423/x
  3. Step 3: Cross multiply
    5,280,762x = 11,319,423 × 11,319,423
  4. Step 4: Simplify right side
    5,280,762x = 128,129,337,052,929
  5. Step 5: Solve for x
    x = 128,129,337,052,929/5,280,762
  6. Step 6: Final answer
    x = 24,263,418.24

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Why These Related Problems?

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