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Finding the Third Proportional to 6,205,230,290 and 8,707,166,482

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Solution

The third proportional to 6,205,230,290 and 8,707,166,482 is: 12,217,878,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,230,290 : 8,707,166,482 = 8,707,166,482 : x
  2. Step 2: Convert to fraction form
    6,205,230,290/8,707,166,482 = 8,707,166,482/x
  3. Step 3: Cross multiply
    6,205,230,290x = 8,707,166,482 × 8,707,166,482
  4. Step 4: Simplify right side
    6,205,230,290x = 75,814,748,145,264,263,168
  5. Step 5: Solve for x
    x = 75,814,748,145,264,263,168/6,205,230,290
  6. Step 6: Final answer
    x = 12,217,878,241.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.