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Finding the Third Proportional to 2,081,542,023 and 4,544,521,926

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Solution

The third proportional to 2,081,542,023 and 4,544,521,926 is: 9,921,817,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,542,023 : 4,544,521,926 = 4,544,521,926 : x
  2. Step 2: Convert to fraction form
    2,081,542,023/4,544,521,926 = 4,544,521,926/x
  3. Step 3: Cross multiply
    2,081,542,023x = 4,544,521,926 × 4,544,521,926
  4. Step 4: Simplify right side
    2,081,542,023x = 20,652,679,535,894,749,184
  5. Step 5: Solve for x
    x = 20,652,679,535,894,749,184/2,081,542,023
  6. Step 6: Final answer
    x = 9,921,817,243.03

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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.