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Finding the Third Proportional to 377,198,215 and 824,518,885

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Solution

The third proportional to 377,198,215 and 824,518,885 is: 1,802,318,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,198,215 : 824,518,885 = 824,518,885 : x
  2. Step 2: Convert to fraction form
    377,198,215/824,518,885 = 824,518,885/x
  3. Step 3: Cross multiply
    377,198,215x = 824,518,885 × 824,518,885
  4. Step 4: Simplify right side
    377,198,215x = 679,831,391,721,643,264
  5. Step 5: Solve for x
    x = 679,831,391,721,643,264/377,198,215
  6. Step 6: Final answer
    x = 1,802,318,687.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.