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Finding the Third Proportional to 9,006,581 and 13,271,647

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Solution

The third proportional to 9,006,581 and 13,271,647 is: 19,556,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006,581 : 13,271,647 = 13,271,647 : x
  2. Step 2: Convert to fraction form
    9,006,581/13,271,647 = 13,271,647/x
  3. Step 3: Cross multiply
    9,006,581x = 13,271,647 × 13,271,647
  4. Step 4: Simplify right side
    9,006,581x = 176,136,614,092,609
  5. Step 5: Solve for x
    x = 176,136,614,092,609/9,006,581
  6. Step 6: Final answer
    x = 19,556,434.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.