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Finding the Third Proportional to 1,180,745,484.75 and 2,733,500,494.69

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Solution

The third proportional to 1,180,745,484.75 and 2,733,500,494.69 is: 6,328,226,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,745,484.75 : 2,733,500,494.69 = 2,733,500,494.69 : x
  2. Step 2: Convert to fraction form
    1,180,745,484.75/2,733,500,494.69 = 2,733,500,494.69/x
  3. Step 3: Cross multiply
    1,180,745,484.75x = 2,733,500,494.69 × 2,733,500,494.69
  4. Step 4: Simplify right side
    1,180,745,484.75x = 7,472,024,954,456,807,424
  5. Step 5: Solve for x
    x = 7,472,024,954,456,807,424/1,180,745,484.75
  6. Step 6: Final answer
    x = 6,328,226,574.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.