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Finding the Third Proportional to 536,664,540 and 1,159,496,178

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Solution

The third proportional to 536,664,540 and 1,159,496,178 is: 2,505,161,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,664,540 : 1,159,496,178 = 1,159,496,178 : x
  2. Step 2: Convert to fraction form
    536,664,540/1,159,496,178 = 1,159,496,178/x
  3. Step 3: Cross multiply
    536,664,540x = 1,159,496,178 × 1,159,496,178
  4. Step 4: Simplify right side
    536,664,540x = 1,344,431,386,796,607,744
  5. Step 5: Solve for x
    x = 1,344,431,386,796,607,744/536,664,540
  6. Step 6: Final answer
    x = 2,505,161,579.70

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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.