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Finding the Third Proportional to 3,381,605,507 and 5,435,913,176

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Solution

The third proportional to 3,381,605,507 and 5,435,913,176 is: 8,738,202,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381,605,507 : 5,435,913,176 = 5,435,913,176 : x
  2. Step 2: Convert to fraction form
    3,381,605,507/5,435,913,176 = 5,435,913,176/x
  3. Step 3: Cross multiply
    3,381,605,507x = 5,435,913,176 × 5,435,913,176
  4. Step 4: Simplify right side
    3,381,605,507x = 29,549,152,057,010,405,376
  5. Step 5: Solve for x
    x = 29,549,152,057,010,405,376/3,381,605,507
  6. Step 6: Final answer
    x = 8,738,202,015.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.