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Finding the Third Proportional to 476,653,374 and 1,026,346,626

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Solution

The third proportional to 476,653,374 and 1,026,346,626 is: 2,209,965,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,653,374 : 1,026,346,626 = 1,026,346,626 : x
  2. Step 2: Convert to fraction form
    476,653,374/1,026,346,626 = 1,026,346,626/x
  3. Step 3: Cross multiply
    476,653,374x = 1,026,346,626 × 1,026,346,626
  4. Step 4: Simplify right side
    476,653,374x = 1,053,387,396,701,583,872
  5. Step 5: Solve for x
    x = 1,053,387,396,701,583,872/476,653,374
  6. Step 6: Final answer
    x = 2,209,965,258.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.