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Finding the Third Proportional to 3,543,468,966 and 7,592,364,803

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Solution

The third proportional to 3,543,468,966 and 7,592,364,803 is: 16,267,675,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543,468,966 : 7,592,364,803 = 7,592,364,803 : x
  2. Step 2: Convert to fraction form
    3,543,468,966/7,592,364,803 = 7,592,364,803/x
  3. Step 3: Cross multiply
    3,543,468,966x = 7,592,364,803 × 7,592,364,803
  4. Step 4: Simplify right side
    3,543,468,966x = 57,644,003,301,833,228,288
  5. Step 5: Solve for x
    x = 57,644,003,301,833,228,288/3,543,468,966
  6. Step 6: Final answer
    x = 16,267,675,505.26

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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.