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Finding the Third Proportional to 4,802,270,018 and 10,406,056,096

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Solution

The third proportional to 4,802,270,018 and 10,406,056,096 is: 22,548,920,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802,270,018 : 10,406,056,096 = 10,406,056,096 : x
  2. Step 2: Convert to fraction form
    4,802,270,018/10,406,056,096 = 10,406,056,096/x
  3. Step 3: Cross multiply
    4,802,270,018x = 10,406,056,096 × 10,406,056,096
  4. Step 4: Simplify right side
    4,802,270,018x = 108,286,003,473,098,768,384
  5. Step 5: Solve for x
    x = 108,286,003,473,098,768,384/4,802,270,018
  6. Step 6: Final answer
    x = 22,548,920,212.15

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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.