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Finding the Third Proportional to 1,893,235,759.50 and 2,829,257,419

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Solution

The third proportional to 1,893,235,759.50 and 2,829,257,419 is: 4,228,051,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893,235,759.50 : 2,829,257,419 = 2,829,257,419 : x
  2. Step 2: Convert to fraction form
    1,893,235,759.50/2,829,257,419 = 2,829,257,419/x
  3. Step 3: Cross multiply
    1,893,235,759.50x = 2,829,257,419 × 2,829,257,419
  4. Step 4: Simplify right side
    1,893,235,759.50x = 8,004,697,542,966,541,312
  5. Step 5: Solve for x
    x = 8,004,697,542,966,541,312/1,893,235,759.50
  6. Step 6: Final answer
    x = 4,228,051,103.94

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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.