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Finding the Third Proportional to 24,771,137,419,002 and 34,442,286,554,487

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Solution

The third proportional to 24,771,137,419,002 and 34,442,286,554,487 is: 47,889,246,385,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771,137,419,002 : 34,442,286,554,487 = 34,442,286,554,487 : x
  2. Step 2: Convert to fraction form
    24,771,137,419,002/34,442,286,554,487 = 34,442,286,554,487/x
  3. Step 3: Cross multiply
    24,771,137,419,002x = 34,442,286,554,487 × 34,442,286,554,487
  4. Step 4: Simplify right side
    24,771,137,419,002x = 1,186,271,103,101,395,987,781,910,528
  5. Step 5: Solve for x
    x = 1,186,271,103,101,395,987,781,910,528/24,771,137,419,002
  6. Step 6: Final answer
    x = 47,889,246,385,246.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.