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Finding the Third Proportional to 5,967,300 and 9,177,462

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Solution

The third proportional to 5,967,300 and 9,177,462 is: 14,114,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967,300 : 9,177,462 = 9,177,462 : x
  2. Step 2: Convert to fraction form
    5,967,300/9,177,462 = 9,177,462/x
  3. Step 3: Cross multiply
    5,967,300x = 9,177,462 × 9,177,462
  4. Step 4: Simplify right side
    5,967,300x = 84,225,808,761,444
  5. Step 5: Solve for x
    x = 84,225,808,761,444/5,967,300
  6. Step 6: Final answer
    x = 14,114,559.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.