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Finding the Third Proportional to 1,220,466,835.50 and 2,648,992,806

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Solution

The third proportional to 1,220,466,835.50 and 2,648,992,806 is: 5,749,572,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,466,835.50 : 2,648,992,806 = 2,648,992,806 : x
  2. Step 2: Convert to fraction form
    1,220,466,835.50/2,648,992,806 = 2,648,992,806/x
  3. Step 3: Cross multiply
    1,220,466,835.50x = 2,648,992,806 × 2,648,992,806
  4. Step 4: Simplify right side
    1,220,466,835.50x = 7,017,162,886,239,753,216
  5. Step 5: Solve for x
    x = 7,017,162,886,239,753,216/1,220,466,835.50
  6. Step 6: Final answer
    x = 5,749,572,771.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.