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Finding the Third Proportional to 3,184,931,498 and 4,777,397,747

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Solution

The third proportional to 3,184,931,498 and 4,777,397,747 is: 7,166,097,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,931,498 : 4,777,397,747 = 4,777,397,747 : x
  2. Step 2: Convert to fraction form
    3,184,931,498/4,777,397,747 = 4,777,397,747/x
  3. Step 3: Cross multiply
    3,184,931,498x = 4,777,397,747 × 4,777,397,747
  4. Step 4: Simplify right side
    3,184,931,498x = 22,823,529,233,040,674,816
  5. Step 5: Solve for x
    x = 22,823,529,233,040,674,816/3,184,931,498
  6. Step 6: Final answer
    x = 7,166,097,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.