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Finding the Third Proportional to 9,031,104 and 19,321,056

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Solution

The third proportional to 9,031,104 and 19,321,056 is: 41,335,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,104 : 19,321,056 = 19,321,056 : x
  2. Step 2: Convert to fraction form
    9,031,104/19,321,056 = 19,321,056/x
  3. Step 3: Cross multiply
    9,031,104x = 19,321,056 × 19,321,056
  4. Step 4: Simplify right side
    9,031,104x = 373,303,204,955,136
  5. Step 5: Solve for x
    x = 373,303,204,955,136/9,031,104
  6. Step 6: Final answer
    x = 41,335,279.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.