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Finding the Third Proportional to 27,715,577,298 and 56,900,441,532

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Solution

The third proportional to 27,715,577,298 and 56,900,441,532 is: 116,817,348,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,577,298 : 56,900,441,532 = 56,900,441,532 : x
  2. Step 2: Convert to fraction form
    27,715,577,298/56,900,441,532 = 56,900,441,532/x
  3. Step 3: Cross multiply
    27,715,577,298x = 56,900,441,532 × 56,900,441,532
  4. Step 4: Simplify right side
    27,715,577,298x = 3,237,660,246,536,550,350,848
  5. Step 5: Solve for x
    x = 3,237,660,246,536,550,350,848/27,715,577,298
  6. Step 6: Final answer
    x = 116,817,348,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.