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Finding the Third Proportional to 3,007,721 and 6,494,854

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Solution

The third proportional to 3,007,721 and 6,494,854 is: 14,024,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,721 : 6,494,854 = 6,494,854 : x
  2. Step 2: Convert to fraction form
    3,007,721/6,494,854 = 6,494,854/x
  3. Step 3: Cross multiply
    3,007,721x = 6,494,854 × 6,494,854
  4. Step 4: Simplify right side
    3,007,721x = 42,183,128,481,316
  5. Step 5: Solve for x
    x = 42,183,128,481,316/3,007,721
  6. Step 6: Final answer
    x = 14,024,947.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.