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Finding the Third Proportional to 2,312,361,282 and 3,296,355,000

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Solution

The third proportional to 2,312,361,282 and 3,296,355,000 is: 4,699,073,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312,361,282 : 3,296,355,000 = 3,296,355,000 : x
  2. Step 2: Convert to fraction form
    2,312,361,282/3,296,355,000 = 3,296,355,000/x
  3. Step 3: Cross multiply
    2,312,361,282x = 3,296,355,000 × 3,296,355,000
  4. Step 4: Simplify right side
    2,312,361,282x = 10,865,956,286,025,000,960
  5. Step 5: Solve for x
    x = 10,865,956,286,025,000,960/2,312,361,282
  6. Step 6: Final answer
    x = 4,699,073,786.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.