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Finding the Third Proportional to 2,524,314,347 and 3,772,343,227

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Solution

The third proportional to 2,524,314,347 and 3,772,343,227 is: 5,637,401,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524,314,347 : 3,772,343,227 = 3,772,343,227 : x
  2. Step 2: Convert to fraction form
    2,524,314,347/3,772,343,227 = 3,772,343,227/x
  3. Step 3: Cross multiply
    2,524,314,347x = 3,772,343,227 × 3,772,343,227
  4. Step 4: Simplify right side
    2,524,314,347x = 14,230,573,422,292,772,864
  5. Step 5: Solve for x
    x = 14,230,573,422,292,772,864/2,524,314,347
  6. Step 6: Final answer
    x = 5,637,401,474.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.