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Finding the Third Proportional to 382,108,320 and 833,389,074

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Solution

The third proportional to 382,108,320 and 833,389,074 is: 1,817,645,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,108,320 : 833,389,074 = 833,389,074 : x
  2. Step 2: Convert to fraction form
    382,108,320/833,389,074 = 833,389,074/x
  3. Step 3: Cross multiply
    382,108,320x = 833,389,074 × 833,389,074
  4. Step 4: Simplify right side
    382,108,320x = 694,537,348,662,577,536
  5. Step 5: Solve for x
    x = 694,537,348,662,577,536/382,108,320
  6. Step 6: Final answer
    x = 1,817,645,186.74

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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.