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Finding the Third Proportional to 3,210,593,071 and 4,911,847,922

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Solution

The third proportional to 3,210,593,071 and 4,911,847,922 is: 7,514,577,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,593,071 : 4,911,847,922 = 4,911,847,922 : x
  2. Step 2: Convert to fraction form
    3,210,593,071/4,911,847,922 = 4,911,847,922/x
  3. Step 3: Cross multiply
    3,210,593,071x = 4,911,847,922 × 4,911,847,922
  4. Step 4: Simplify right side
    3,210,593,071x = 24,126,250,008,855,719,936
  5. Step 5: Solve for x
    x = 24,126,250,008,855,719,936/3,210,593,071
  6. Step 6: Final answer
    x = 7,514,577,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.