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Finding the Third Proportional to 64,244,760 and 97,872,834

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Solution

The third proportional to 64,244,760 and 97,872,834 is: 149,103,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,244,760 : 97,872,834 = 97,872,834 : x
  2. Step 2: Convert to fraction form
    64,244,760/97,872,834 = 97,872,834/x
  3. Step 3: Cross multiply
    64,244,760x = 97,872,834 × 97,872,834
  4. Step 4: Simplify right side
    64,244,760x = 9,579,091,635,191,556
  5. Step 5: Solve for x
    x = 9,579,091,635,191,556/64,244,760
  6. Step 6: Final answer
    x = 149,103,080.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.