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Finding the Third Proportional to 828,151,974 and 1,772,637,900

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Solution

The third proportional to 828,151,974 and 1,772,637,900 is: 3,794,285,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,151,974 : 1,772,637,900 = 1,772,637,900 : x
  2. Step 2: Convert to fraction form
    828,151,974/1,772,637,900 = 1,772,637,900/x
  3. Step 3: Cross multiply
    828,151,974x = 1,772,637,900 × 1,772,637,900
  4. Step 4: Simplify right side
    828,151,974x = 3,142,245,124,516,409,856
  5. Step 5: Solve for x
    x = 3,142,245,124,516,409,856/828,151,974
  6. Step 6: Final answer
    x = 3,794,285,618.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.