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Finding the Third Proportional to 4,429,030,491 and 6,229,135,048.50

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Solution

The third proportional to 4,429,030,491 and 6,229,135,048.50 is: 8,760,861,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429,030,491 : 6,229,135,048.50 = 6,229,135,048.50 : x
  2. Step 2: Convert to fraction form
    4,429,030,491/6,229,135,048.50 = 6,229,135,048.50/x
  3. Step 3: Cross multiply
    4,429,030,491x = 6,229,135,048.50 × 6,229,135,048.50
  4. Step 4: Simplify right side
    4,429,030,491x = 38,802,123,452,451,094,528
  5. Step 5: Solve for x
    x = 38,802,123,452,451,094,528/4,429,030,491
  6. Step 6: Final answer
    x = 8,760,861,667.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.