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Finding the Third Proportional to 34,814,616,620 and 52,258,773,678

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Solution

The third proportional to 34,814,616,620 and 52,258,773,678 is: 78,443,472,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,814,616,620 : 52,258,773,678 = 52,258,773,678 : x
  2. Step 2: Convert to fraction form
    34,814,616,620/52,258,773,678 = 52,258,773,678/x
  3. Step 3: Cross multiply
    34,814,616,620x = 52,258,773,678 × 52,258,773,678
  4. Step 4: Simplify right side
    34,814,616,620x = 2,730,979,426,328,425,529,344
  5. Step 5: Solve for x
    x = 2,730,979,426,328,425,529,344/34,814,616,620
  6. Step 6: Final answer
    x = 78,443,472,640.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.