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Finding the Third Proportional to 2,254,403,718 and 3,623,942,187

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Solution

The third proportional to 2,254,403,718 and 3,623,942,187 is: 5,825,468,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,403,718 : 3,623,942,187 = 3,623,942,187 : x
  2. Step 2: Convert to fraction form
    2,254,403,718/3,623,942,187 = 3,623,942,187/x
  3. Step 3: Cross multiply
    2,254,403,718x = 3,623,942,187 × 3,623,942,187
  4. Step 4: Simplify right side
    2,254,403,718x = 13,132,956,974,718,343,168
  5. Step 5: Solve for x
    x = 13,132,956,974,718,343,168/2,254,403,718
  6. Step 6: Final answer
    x = 5,825,468,113.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.