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Finding the Third Proportional to 4,923,480 and 10,344,576

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Solution

The third proportional to 4,923,480 and 10,344,576 is: 21,734,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923,480 : 10,344,576 = 10,344,576 : x
  2. Step 2: Convert to fraction form
    4,923,480/10,344,576 = 10,344,576/x
  3. Step 3: Cross multiply
    4,923,480x = 10,344,576 × 10,344,576
  4. Step 4: Simplify right side
    4,923,480x = 107,010,252,619,776
  5. Step 5: Solve for x
    x = 107,010,252,619,776/4,923,480
  6. Step 6: Final answer
    x = 21,734,678.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.