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Finding the Third Proportional to 12,727,489,491 and 25,817,887,575

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Solution

The third proportional to 12,727,489,491 and 25,817,887,575 is: 52,371,940,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727,489,491 : 25,817,887,575 = 25,817,887,575 : x
  2. Step 2: Convert to fraction form
    12,727,489,491/25,817,887,575 = 25,817,887,575/x
  3. Step 3: Cross multiply
    12,727,489,491x = 25,817,887,575 × 25,817,887,575
  4. Step 4: Simplify right side
    12,727,489,491x = 666,563,318,835,339,329,536
  5. Step 5: Solve for x
    x = 666,563,318,835,339,329,536/12,727,489,491
  6. Step 6: Final answer
    x = 52,371,940,224.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.