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Finding the Third Proportional to 1,635,209,054 and 2,452,213,249

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Solution

The third proportional to 1,635,209,054 and 2,452,213,249 is: 3,677,419,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,209,054 : 2,452,213,249 = 2,452,213,249 : x
  2. Step 2: Convert to fraction form
    1,635,209,054/2,452,213,249 = 2,452,213,249/x
  3. Step 3: Cross multiply
    1,635,209,054x = 2,452,213,249 × 2,452,213,249
  4. Step 4: Simplify right side
    1,635,209,054x = 6,013,349,818,571,136,000
  5. Step 5: Solve for x
    x = 6,013,349,818,571,136,000/1,635,209,054
  6. Step 6: Final answer
    x = 3,677,419,595.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.