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Finding the Third Proportional to 2,296,854,153 and 5,038,347,762

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Solution

The third proportional to 2,296,854,153 and 5,038,347,762 is: 11,052,050,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,854,153 : 5,038,347,762 = 5,038,347,762 : x
  2. Step 2: Convert to fraction form
    2,296,854,153/5,038,347,762 = 5,038,347,762/x
  3. Step 3: Cross multiply
    2,296,854,153x = 5,038,347,762 × 5,038,347,762
  4. Step 4: Simplify right side
    2,296,854,153x = 25,384,948,170,850,410,496
  5. Step 5: Solve for x
    x = 25,384,948,170,850,410,496/2,296,854,153
  6. Step 6: Final answer
    x = 11,052,050,535.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.