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Finding the Third Proportional to 511,813,938 and 1,105,181,028

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Solution

The third proportional to 511,813,938 and 1,105,181,028 is: 2,386,463,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813,938 : 1,105,181,028 = 1,105,181,028 : x
  2. Step 2: Convert to fraction form
    511,813,938/1,105,181,028 = 1,105,181,028/x
  3. Step 3: Cross multiply
    511,813,938x = 1,105,181,028 × 1,105,181,028
  4. Step 4: Simplify right side
    511,813,938x = 1,221,425,104,651,136,768
  5. Step 5: Solve for x
    x = 1,221,425,104,651,136,768/511,813,938
  6. Step 6: Final answer
    x = 2,386,463,153.83

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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.