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Finding the Third Proportional to 7,557,025,760 and 16,398,593,623

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Solution

The third proportional to 7,557,025,760 and 16,398,593,623 is: 35,584,617,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557,025,760 : 16,398,593,623 = 16,398,593,623 : x
  2. Step 2: Convert to fraction form
    7,557,025,760/16,398,593,623 = 16,398,593,623/x
  3. Step 3: Cross multiply
    7,557,025,760x = 16,398,593,623 × 16,398,593,623
  4. Step 4: Simplify right side
    7,557,025,760x = 268,913,872,812,296,273,920
  5. Step 5: Solve for x
    x = 268,913,872,812,296,273,920/7,557,025,760
  6. Step 6: Final answer
    x = 35,584,617,725.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.