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Finding the Third Proportional to 4,607,065 and 10,024,413

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Solution

The third proportional to 4,607,065 and 10,024,413 is: 21,811,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607,065 : 10,024,413 = 10,024,413 : x
  2. Step 2: Convert to fraction form
    4,607,065/10,024,413 = 10,024,413/x
  3. Step 3: Cross multiply
    4,607,065x = 10,024,413 × 10,024,413
  4. Step 4: Simplify right side
    4,607,065x = 100,488,855,994,569
  5. Step 5: Solve for x
    x = 100,488,855,994,569/4,607,065
  6. Step 6: Final answer
    x = 21,811,903.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.