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Finding the Third Proportional to 34,873,678 and 47,872,039

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Solution

The third proportional to 34,873,678 and 47,872,039 is: 65,715,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,873,678 : 47,872,039 = 47,872,039 : x
  2. Step 2: Convert to fraction form
    34,873,678/47,872,039 = 47,872,039/x
  3. Step 3: Cross multiply
    34,873,678x = 47,872,039 × 47,872,039
  4. Step 4: Simplify right side
    34,873,678x = 2,291,732,118,017,521
  5. Step 5: Solve for x
    x = 2,291,732,118,017,521/34,873,678
  6. Step 6: Final answer
    x = 65,715,239.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.