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Finding the Third Proportional to 12,727,489,492 and 25,817,887,577

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Solution

The third proportional to 12,727,489,492 and 25,817,887,577 is: 52,371,940,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727,489,492 : 25,817,887,577 = 25,817,887,577 : x
  2. Step 2: Convert to fraction form
    12,727,489,492/25,817,887,577 = 25,817,887,577/x
  3. Step 3: Cross multiply
    12,727,489,492x = 25,817,887,577 × 25,817,887,577
  4. Step 4: Simplify right side
    12,727,489,492x = 666,563,318,938,610,958,336
  5. Step 5: Solve for x
    x = 666,563,318,938,610,958,336/12,727,489,492
  6. Step 6: Final answer
    x = 52,371,940,228.87

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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.