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Finding the Third Proportional to 9,778,932 and 21,240,733

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Solution

The third proportional to 9,778,932 and 21,240,733 is: 46,136,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,932 : 21,240,733 = 21,240,733 : x
  2. Step 2: Convert to fraction form
    9,778,932/21,240,733 = 21,240,733/x
  3. Step 3: Cross multiply
    9,778,932x = 21,240,733 × 21,240,733
  4. Step 4: Simplify right side
    9,778,932x = 451,168,738,377,289
  5. Step 5: Solve for x
    x = 451,168,738,377,289/9,778,932
  6. Step 6: Final answer
    x = 46,136,811.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.