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Finding the Third Proportional to 2,078,431,098 and 4,522,749,888

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Solution

The third proportional to 2,078,431,098 and 4,522,749,888 is: 9,841,686,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,431,098 : 4,522,749,888 = 4,522,749,888 : x
  2. Step 2: Convert to fraction form
    2,078,431,098/4,522,749,888 = 4,522,749,888/x
  3. Step 3: Cross multiply
    2,078,431,098x = 4,522,749,888 × 4,522,749,888
  4. Step 4: Simplify right side
    2,078,431,098x = 20,455,266,549,404,012,544
  5. Step 5: Solve for x
    x = 20,455,266,549,404,012,544/2,078,431,098
  6. Step 6: Final answer
    x = 9,841,686,149.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.