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Finding the Third Proportional to 6,290,922,475 and 9,767,856,435

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Solution

The third proportional to 6,290,922,475 and 9,767,856,435 is: 15,166,459,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,922,475 : 9,767,856,435 = 9,767,856,435 : x
  2. Step 2: Convert to fraction form
    6,290,922,475/9,767,856,435 = 9,767,856,435/x
  3. Step 3: Cross multiply
    6,290,922,475x = 9,767,856,435 × 9,767,856,435
  4. Step 4: Simplify right side
    6,290,922,475x = 95,411,019,334,770,917,376
  5. Step 5: Solve for x
    x = 95,411,019,334,770,917,376/6,290,922,475
  6. Step 6: Final answer
    x = 15,166,459,245.67

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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.