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Finding the Third Proportional to 407,812,333.50 and 880,605,816.75

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Solution

The third proportional to 407,812,333.50 and 880,605,816.75 is: 1,901,528,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812,333.50 : 880,605,816.75 = 880,605,816.75 : x
  2. Step 2: Convert to fraction form
    407,812,333.50/880,605,816.75 = 880,605,816.75/x
  3. Step 3: Cross multiply
    407,812,333.50x = 880,605,816.75 × 880,605,816.75
  4. Step 4: Simplify right side
    407,812,333.50x = 775,466,604,493,934,592
  5. Step 5: Solve for x
    x = 775,466,604,493,934,592/407,812,333.50
  6. Step 6: Final answer
    x = 1,901,528,082.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.