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Finding the Third Proportional to 3,618,622,476 and 7,878,012,569

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Solution

The third proportional to 3,618,622,476 and 7,878,012,569 is: 17,151,024,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618,622,476 : 7,878,012,569 = 7,878,012,569 : x
  2. Step 2: Convert to fraction form
    3,618,622,476/7,878,012,569 = 7,878,012,569/x
  3. Step 3: Cross multiply
    3,618,622,476x = 7,878,012,569 × 7,878,012,569
  4. Step 4: Simplify right side
    3,618,622,476x = 62,063,082,037,321,981,952
  5. Step 5: Solve for x
    x = 62,063,082,037,321,981,952/3,618,622,476
  6. Step 6: Final answer
    x = 17,151,024,305.23

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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.