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Finding the Third Proportional to 30,576,651,315,078 and 67,073,099,791,476

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Solution

The third proportional to 30,576,651,315,078 and 67,073,099,791,476 is: 147,131,897,122,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576,651,315,078 : 67,073,099,791,476 = 67,073,099,791,476 : x
  2. Step 2: Convert to fraction form
    30,576,651,315,078/67,073,099,791,476 = 67,073,099,791,476/x
  3. Step 3: Cross multiply
    30,576,651,315,078x = 67,073,099,791,476 × 67,073,099,791,476
  4. Step 4: Simplify right side
    30,576,651,315,078x = 4,498,800,715,637,298,023,280,672,768
  5. Step 5: Solve for x
    x = 4,498,800,715,637,298,023,280,672,768/30,576,651,315,078
  6. Step 6: Final answer
    x = 147,131,897,122,391.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.