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Finding the Third Proportional to 674,362,539,152 and 1,456,206,771,571

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Solution

The third proportional to 674,362,539,152 and 1,456,206,771,571 is: 3,144,507,647,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,362,539,152 : 1,456,206,771,571 = 1,456,206,771,571 : x
  2. Step 2: Convert to fraction form
    674,362,539,152/1,456,206,771,571 = 1,456,206,771,571/x
  3. Step 3: Cross multiply
    674,362,539,152x = 1,456,206,771,571 × 1,456,206,771,571
  4. Step 4: Simplify right side
    674,362,539,152x = 2,120,538,161,569,234,463,752,192
  5. Step 5: Solve for x
    x = 2,120,538,161,569,234,463,752,192/674,362,539,152
  6. Step 6: Final answer
    x = 3,144,507,647,527.07

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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.