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Finding the Third Proportional to 4,732,569 and 10,360,710

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Solution

The third proportional to 4,732,569 and 10,360,710 is: 22,682,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,569 : 10,360,710 = 10,360,710 : x
  2. Step 2: Convert to fraction form
    4,732,569/10,360,710 = 10,360,710/x
  3. Step 3: Cross multiply
    4,732,569x = 10,360,710 × 10,360,710
  4. Step 4: Simplify right side
    4,732,569x = 107,344,311,704,100
  5. Step 5: Solve for x
    x = 107,344,311,704,100/4,732,569
  6. Step 6: Final answer
    x = 22,682,038.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.