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Finding the Third Proportional to 4,678,786 and 10,053,524

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Solution

The third proportional to 4,678,786 and 10,053,524 is: 21,602,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,786 : 10,053,524 = 10,053,524 : x
  2. Step 2: Convert to fraction form
    4,678,786/10,053,524 = 10,053,524/x
  3. Step 3: Cross multiply
    4,678,786x = 10,053,524 × 10,053,524
  4. Step 4: Simplify right side
    4,678,786x = 101,073,344,818,576
  5. Step 5: Solve for x
    x = 101,073,344,818,576/4,678,786
  6. Step 6: Final answer
    x = 21,602,472.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.