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Finding the Third Proportional to 245,179,966 and 533,406,380

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Solution

The third proportional to 245,179,966 and 533,406,380 is: 1,160,463,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,179,966 : 533,406,380 = 533,406,380 : x
  2. Step 2: Convert to fraction form
    245,179,966/533,406,380 = 533,406,380/x
  3. Step 3: Cross multiply
    245,179,966x = 533,406,380 × 533,406,380
  4. Step 4: Simplify right side
    245,179,966x = 284,522,366,224,704,384
  5. Step 5: Solve for x
    x = 284,522,366,224,704,384/245,179,966
  6. Step 6: Final answer
    x = 1,160,463,356.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.