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Finding the Third Proportional to 30,545,723,620 and 65,759,784,873

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Solution

The third proportional to 30,545,723,620 and 65,759,784,873 is: 141,569,712,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545,723,620 : 65,759,784,873 = 65,759,784,873 : x
  2. Step 2: Convert to fraction form
    30,545,723,620/65,759,784,873 = 65,759,784,873/x
  3. Step 3: Cross multiply
    30,545,723,620x = 65,759,784,873 × 65,759,784,873
  4. Step 4: Simplify right side
    30,545,723,620x = 4,324,349,306,543,239,856,128
  5. Step 5: Solve for x
    x = 4,324,349,306,543,239,856,128/30,545,723,620
  6. Step 6: Final answer
    x = 141,569,712,354.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.