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Finding the Third Proportional to 555,110,647.50 and 1,234,302,199.50

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Solution

The third proportional to 555,110,647.50 and 1,234,302,199.50 is: 2,744,501,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,110,647.50 : 1,234,302,199.50 = 1,234,302,199.50 : x
  2. Step 2: Convert to fraction form
    555,110,647.50/1,234,302,199.50 = 1,234,302,199.50/x
  3. Step 3: Cross multiply
    555,110,647.50x = 1,234,302,199.50 × 1,234,302,199.50
  4. Step 4: Simplify right side
    555,110,647.50x = 1,523,501,919,690,537,728
  5. Step 5: Solve for x
    x = 1,523,501,919,690,537,728/555,110,647.50
  6. Step 6: Final answer
    x = 2,744,501,346.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.