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Finding the Third Proportional to 6,482,425,108.50 and 15,005,879,815.50

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Solution

The third proportional to 6,482,425,108.50 and 15,005,879,815.50 is: 34,736,448,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482,425,108.50 : 15,005,879,815.50 = 15,005,879,815.50 : x
  2. Step 2: Convert to fraction form
    6,482,425,108.50/15,005,879,815.50 = 15,005,879,815.50/x
  3. Step 3: Cross multiply
    6,482,425,108.50x = 15,005,879,815.50 × 15,005,879,815.50
  4. Step 4: Simplify right side
    6,482,425,108.50x = 225,176,429,037,230,325,760
  5. Step 5: Solve for x
    x = 225,176,429,037,230,325,760/6,482,425,108.50
  6. Step 6: Final answer
    x = 34,736,448,978.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.