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Finding the Third Proportional to 9,006,578 and 13,271,643

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Solution

The third proportional to 9,006,578 and 13,271,643 is: 19,556,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006,578 : 13,271,643 = 13,271,643 : x
  2. Step 2: Convert to fraction form
    9,006,578/13,271,643 = 13,271,643/x
  3. Step 3: Cross multiply
    9,006,578x = 13,271,643 × 13,271,643
  4. Step 4: Simplify right side
    9,006,578x = 176,136,507,919,449
  5. Step 5: Solve for x
    x = 176,136,507,919,449/9,006,578
  6. Step 6: Final answer
    x = 19,556,429.53

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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.