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Finding the Third Proportional to 25,899,646,778 and 56,359,900,408

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Solution

The third proportional to 25,899,646,778 and 56,359,900,408 is: 122,644,080,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899,646,778 : 56,359,900,408 = 56,359,900,408 : x
  2. Step 2: Convert to fraction form
    25,899,646,778/56,359,900,408 = 56,359,900,408/x
  3. Step 3: Cross multiply
    25,899,646,778x = 56,359,900,408 × 56,359,900,408
  4. Step 4: Simplify right side
    25,899,646,778x = 3,176,438,373,999,678,324,736
  5. Step 5: Solve for x
    x = 3,176,438,373,999,678,324,736/25,899,646,778
  6. Step 6: Final answer
    x = 122,644,080,872.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.