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Finding the Third Proportional to 352,392,806 and 772,550,554

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Solution

The third proportional to 352,392,806 and 772,550,554 is: 1,693,662,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,392,806 : 772,550,554 = 772,550,554 : x
  2. Step 2: Convert to fraction form
    352,392,806/772,550,554 = 772,550,554/x
  3. Step 3: Cross multiply
    352,392,806x = 772,550,554 × 772,550,554
  4. Step 4: Simplify right side
    352,392,806x = 596,834,358,485,706,880
  5. Step 5: Solve for x
    x = 596,834,358,485,706,880/352,392,806
  6. Step 6: Final answer
    x = 1,693,662,152.93

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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.