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Finding the Third Proportional to 769,550,545.50 and 1,648,066,199.25

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Solution

The third proportional to 769,550,545.50 and 1,648,066,199.25 is: 3,529,491,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,550,545.50 : 1,648,066,199.25 = 1,648,066,199.25 : x
  2. Step 2: Convert to fraction form
    769,550,545.50/1,648,066,199.25 = 1,648,066,199.25/x
  3. Step 3: Cross multiply
    769,550,545.50x = 1,648,066,199.25 × 1,648,066,199.25
  4. Step 4: Simplify right side
    769,550,545.50x = 2,716,122,197,110,340,608
  5. Step 5: Solve for x
    x = 2,716,122,197,110,340,608/769,550,545.50
  6. Step 6: Final answer
    x = 3,529,491,614.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.