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Finding the Third Proportional to 352,392,736 and 772,550,432

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Solution

The third proportional to 352,392,736 and 772,550,432 is: 1,693,661,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,392,736 : 772,550,432 = 772,550,432 : x
  2. Step 2: Convert to fraction form
    352,392,736/772,550,432 = 772,550,432/x
  3. Step 3: Cross multiply
    352,392,736x = 772,550,432 × 772,550,432
  4. Step 4: Simplify right side
    352,392,736x = 596,834,169,983,386,624
  5. Step 5: Solve for x
    x = 596,834,169,983,386,624/352,392,736
  6. Step 6: Final answer
    x = 1,693,661,954.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.