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Finding the Third Proportional to 71,963,868 and 105,246,834

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Solution

The third proportional to 71,963,868 and 105,246,834 is: 153,923,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963,868 : 105,246,834 = 105,246,834 : x
  2. Step 2: Convert to fraction form
    71,963,868/105,246,834 = 105,246,834/x
  3. Step 3: Cross multiply
    71,963,868x = 105,246,834 × 105,246,834
  4. Step 4: Simplify right side
    71,963,868x = 11,076,896,067,023,556
  5. Step 5: Solve for x
    x = 11,076,896,067,023,556/71,963,868
  6. Step 6: Final answer
    x = 153,923,022.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.