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Finding the Third Proportional to 47,328,624 and 67,633,704

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Solution

The third proportional to 47,328,624 and 67,633,704 is: 96,650,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328,624 : 67,633,704 = 67,633,704 : x
  2. Step 2: Convert to fraction form
    47,328,624/67,633,704 = 67,633,704/x
  3. Step 3: Cross multiply
    47,328,624x = 67,633,704 × 67,633,704
  4. Step 4: Simplify right side
    47,328,624x = 4,574,317,916,759,616
  5. Step 5: Solve for x
    x = 4,574,317,916,759,616/47,328,624
  6. Step 6: Final answer
    x = 96,650,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.