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Finding the Third Proportional to 3,543,468,965 and 7,592,364,801

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Solution

The third proportional to 3,543,468,965 and 7,592,364,801 is: 16,267,675,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543,468,965 : 7,592,364,801 = 7,592,364,801 : x
  2. Step 2: Convert to fraction form
    3,543,468,965/7,592,364,801 = 7,592,364,801/x
  3. Step 3: Cross multiply
    3,543,468,965x = 7,592,364,801 × 7,592,364,801
  4. Step 4: Simplify right side
    3,543,468,965x = 57,644,003,271,463,772,160
  5. Step 5: Solve for x
    x = 57,644,003,271,463,772,160/3,543,468,965
  6. Step 6: Final answer
    x = 16,267,675,501.28

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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.