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Finding the Third Proportional to 2,250,609,214,226.50 and 3,036,600,220,356.20

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Solution

The third proportional to 2,250,609,214,226.50 and 3,036,600,220,356.20 is: 4,097,086,619,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250,609,214,226.50 : 3,036,600,220,356.20 = 3,036,600,220,356.20 : x
  2. Step 2: Convert to fraction form
    2,250,609,214,226.50/3,036,600,220,356.20 = 3,036,600,220,356.20/x
  3. Step 3: Cross multiply
    2,250,609,214,226.50x = 3,036,600,220,356.20 × 3,036,600,220,356.20
  4. Step 4: Simplify right side
    2,250,609,214,226.50x = 9,220,940,898,267,323,630,092,288
  5. Step 5: Solve for x
    x = 9,220,940,898,267,323,630,092,288/2,250,609,214,226.50
  6. Step 6: Final answer
    x = 4,097,086,619,916.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.