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Finding the Third Proportional to 10,498,723.88 and 21,835,501.59

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Solution

The third proportional to 10,498,723.88 and 21,835,501.59 is: 45,414,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,723.88 : 21,835,501.59 = 21,835,501.59 : x
  2. Step 2: Convert to fraction form
    10,498,723.88/21,835,501.59 = 21,835,501.59/x
  3. Step 3: Cross multiply
    10,498,723.88x = 21,835,501.59 × 21,835,501.59
  4. Step 4: Simplify right side
    10,498,723.88x = 476,789,129,850,658.81
  5. Step 5: Solve for x
    x = 476,789,129,850,658.81/10,498,723.88
  6. Step 6: Final answer
    x = 45,414,007.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.