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Finding the Third Proportional to 404,873,191,521 and 843,257,498,967

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Solution

The third proportional to 404,873,191,521 and 843,257,498,967 is: 1,756,310,925,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,191,521 : 843,257,498,967 = 843,257,498,967 : x
  2. Step 2: Convert to fraction form
    404,873,191,521/843,257,498,967 = 843,257,498,967/x
  3. Step 3: Cross multiply
    404,873,191,521x = 843,257,498,967 × 843,257,498,967
  4. Step 4: Simplify right side
    404,873,191,521x = 711,083,209,564,080,035,594,240
  5. Step 5: Solve for x
    x = 711,083,209,564,080,035,594,240/404,873,191,521
  6. Step 6: Final answer
    x = 1,756,310,925,138.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.