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Finding the Third Proportional to 9,006,576 and 13,271,640

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Solution

The third proportional to 9,006,576 and 13,271,640 is: 19,556,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006,576 : 13,271,640 = 13,271,640 : x
  2. Step 2: Convert to fraction form
    9,006,576/13,271,640 = 13,271,640/x
  3. Step 3: Cross multiply
    9,006,576x = 13,271,640 × 13,271,640
  4. Step 4: Simplify right side
    9,006,576x = 176,136,428,289,600
  5. Step 5: Solve for x
    x = 176,136,428,289,600/9,006,576
  6. Step 6: Final answer
    x = 19,556,425.03

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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.