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Finding the Third Proportional to 6,147,130 and 9,021,399

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Solution

The third proportional to 6,147,130 and 9,021,399 is: 13,239,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,130 : 9,021,399 = 9,021,399 : x
  2. Step 2: Convert to fraction form
    6,147,130/9,021,399 = 9,021,399/x
  3. Step 3: Cross multiply
    6,147,130x = 9,021,399 × 9,021,399
  4. Step 4: Simplify right side
    6,147,130x = 81,385,639,917,201
  5. Step 5: Solve for x
    x = 81,385,639,917,201/6,147,130
  6. Step 6: Final answer
    x = 13,239,615.87

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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.