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Finding the Third Proportional to 29,933,747 and 43,780,876.50

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Solution

The third proportional to 29,933,747 and 43,780,876.50 is: 64,033,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933,747 : 43,780,876.50 = 43,780,876.50 : x
  2. Step 2: Convert to fraction form
    29,933,747/43,780,876.50 = 43,780,876.50/x
  3. Step 3: Cross multiply
    29,933,747x = 43,780,876.50 × 43,780,876.50
  4. Step 4: Simplify right side
    29,933,747x = 1,916,765,147,108,252.25
  5. Step 5: Solve for x
    x = 1,916,765,147,108,252.25/29,933,747
  6. Step 6: Final answer
    x = 64,033,585.47

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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.