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Finding the Third Proportional to 827,816,492 and 1,802,599,388

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Solution

The third proportional to 827,816,492 and 1,802,599,388 is: 3,925,223,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,816,492 : 1,802,599,388 = 1,802,599,388 : x
  2. Step 2: Convert to fraction form
    827,816,492/1,802,599,388 = 1,802,599,388/x
  3. Step 3: Cross multiply
    827,816,492x = 1,802,599,388 × 1,802,599,388
  4. Step 4: Simplify right side
    827,816,492x = 3,249,364,553,617,974,784
  5. Step 5: Solve for x
    x = 3,249,364,553,617,974,784/827,816,492
  6. Step 6: Final answer
    x = 3,925,223,265.08

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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.