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Finding the Third Proportional to 324,466,154,496 and 476,979,640,816.50

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Solution

The third proportional to 324,466,154,496 and 476,979,640,816.50 is: 701,181,231,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,466,154,496 : 476,979,640,816.50 = 476,979,640,816.50 : x
  2. Step 2: Convert to fraction form
    324,466,154,496/476,979,640,816.50 = 476,979,640,816.50/x
  3. Step 3: Cross multiply
    324,466,154,496x = 476,979,640,816.50 × 476,979,640,816.50
  4. Step 4: Simplify right side
    324,466,154,496x = 227,509,577,753,437,338,075,136
  5. Step 5: Solve for x
    x = 227,509,577,753,437,338,075,136/324,466,154,496
  6. Step 6: Final answer
    x = 701,181,231,388.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.