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Finding the Third Proportional to 2,081,542,018 and 4,544,521,916

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Solution

The third proportional to 2,081,542,018 and 4,544,521,916 is: 9,921,817,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,542,018 : 4,544,521,916 = 4,544,521,916 : x
  2. Step 2: Convert to fraction form
    2,081,542,018/4,544,521,916 = 4,544,521,916/x
  3. Step 3: Cross multiply
    2,081,542,018x = 4,544,521,916 × 4,544,521,916
  4. Step 4: Simplify right side
    2,081,542,018x = 20,652,679,445,004,312,576
  5. Step 5: Solve for x
    x = 20,652,679,445,004,312,576/2,081,542,018
  6. Step 6: Final answer
    x = 9,921,817,223.20

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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.