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Finding the Third Proportional to 511,813,936 and 1,105,181,024

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Solution

The third proportional to 511,813,936 and 1,105,181,024 is: 2,386,463,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813,936 : 1,105,181,024 = 1,105,181,024 : x
  2. Step 2: Convert to fraction form
    511,813,936/1,105,181,024 = 1,105,181,024/x
  3. Step 3: Cross multiply
    511,813,936x = 1,105,181,024 × 1,105,181,024
  4. Step 4: Simplify right side
    511,813,936x = 1,221,425,095,809,688,576
  5. Step 5: Solve for x
    x = 1,221,425,095,809,688,576/511,813,936
  6. Step 6: Final answer
    x = 2,386,463,145.88

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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.