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Finding the Third Proportional to 3,618,622,474 and 7,878,012,565

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Solution

The third proportional to 3,618,622,474 and 7,878,012,565 is: 17,151,024,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618,622,474 : 7,878,012,565 = 7,878,012,565 : x
  2. Step 2: Convert to fraction form
    3,618,622,474/7,878,012,565 = 7,878,012,565/x
  3. Step 3: Cross multiply
    3,618,622,474x = 7,878,012,565 × 7,878,012,565
  4. Step 4: Simplify right side
    3,618,622,474x = 62,063,081,974,297,878,528
  5. Step 5: Solve for x
    x = 62,063,081,974,297,878,528/3,618,622,474
  6. Step 6: Final answer
    x = 17,151,024,297.29

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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.