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Finding the Third Proportional to 6,290,922,474 and 9,767,856,433

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Solution

The third proportional to 6,290,922,474 and 9,767,856,433 is: 15,166,459,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,922,474 : 9,767,856,433 = 9,767,856,433 : x
  2. Step 2: Convert to fraction form
    6,290,922,474/9,767,856,433 = 9,767,856,433/x
  3. Step 3: Cross multiply
    6,290,922,474x = 9,767,856,433 × 9,767,856,433
  4. Step 4: Simplify right side
    6,290,922,474x = 95,411,019,295,699,484,672
  5. Step 5: Solve for x
    x = 95,411,019,295,699,484,672/6,290,922,474
  6. Step 6: Final answer
    x = 15,166,459,241.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.