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Finding the Third Proportional to 827,816,490 and 1,802,599,384

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Solution

The third proportional to 827,816,490 and 1,802,599,384 is: 3,925,223,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,816,490 : 1,802,599,384 = 1,802,599,384 : x
  2. Step 2: Convert to fraction form
    827,816,490/1,802,599,384 = 1,802,599,384/x
  3. Step 3: Cross multiply
    827,816,490x = 1,802,599,384 × 1,802,599,384
  4. Step 4: Simplify right side
    827,816,490x = 3,249,364,539,197,179,392
  5. Step 5: Solve for x
    x = 3,249,364,539,197,179,392/827,816,490
  6. Step 6: Final answer
    x = 3,925,223,257.15

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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.