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Finding the Third Proportional to 2,805,894,805.50 and 3,922,806,082.50

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Solution

The third proportional to 2,805,894,805.50 and 3,922,806,082.50 is: 5,484,313,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,894,805.50 : 3,922,806,082.50 = 3,922,806,082.50 : x
  2. Step 2: Convert to fraction form
    2,805,894,805.50/3,922,806,082.50 = 3,922,806,082.50/x
  3. Step 3: Cross multiply
    2,805,894,805.50x = 3,922,806,082.50 × 3,922,806,082.50
  4. Step 4: Simplify right side
    2,805,894,805.50x = 15,388,407,560,898,996,224
  5. Step 5: Solve for x
    x = 15,388,407,560,898,996,224/2,805,894,805.50
  6. Step 6: Final answer
    x = 5,484,313,784.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.