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Finding the Third Proportional to 32,179,857,984 and 69,277,800,000

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Solution

The third proportional to 32,179,857,984 and 69,277,800,000 is: 149,143,404,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179,857,984 : 69,277,800,000 = 69,277,800,000 : x
  2. Step 2: Convert to fraction form
    32,179,857,984/69,277,800,000 = 69,277,800,000/x
  3. Step 3: Cross multiply
    32,179,857,984x = 69,277,800,000 × 69,277,800,000
  4. Step 4: Simplify right side
    32,179,857,984x = 4,799,413,572,840,000,061,440
  5. Step 5: Solve for x
    x = 4,799,413,572,840,000,061,440/32,179,857,984
  6. Step 6: Final answer
    x = 149,143,404,399.93

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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.