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Finding the Third Proportional to 4,802,270,014 and 10,406,056,088

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Solution

The third proportional to 4,802,270,014 and 10,406,056,088 is: 22,548,920,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802,270,014 : 10,406,056,088 = 10,406,056,088 : x
  2. Step 2: Convert to fraction form
    4,802,270,014/10,406,056,088 = 10,406,056,088/x
  3. Step 3: Cross multiply
    4,802,270,014x = 10,406,056,088 × 10,406,056,088
  4. Step 4: Simplify right side
    4,802,270,014x = 108,286,003,306,601,857,024
  5. Step 5: Solve for x
    x = 108,286,003,306,601,857,024/4,802,270,014
  6. Step 6: Final answer
    x = 22,548,920,196.26

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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.