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Finding the Third Proportional to 7,943,616 and 17,006,976

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Solution

The third proportional to 7,943,616 and 17,006,976 is: 36,411,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943,616 : 17,006,976 = 17,006,976 : x
  2. Step 2: Convert to fraction form
    7,943,616/17,006,976 = 17,006,976/x
  3. Step 3: Cross multiply
    7,943,616x = 17,006,976 × 17,006,976
  4. Step 4: Simplify right side
    7,943,616x = 289,237,232,664,576
  5. Step 5: Solve for x
    x = 289,237,232,664,576/7,943,616
  6. Step 6: Final answer
    x = 36,411,280.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.