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Finding the Third Proportional to 352,135,770 and 772,295,988

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Solution

The third proportional to 352,135,770 and 772,295,988 is: 1,693,781,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,135,770 : 772,295,988 = 772,295,988 : x
  2. Step 2: Convert to fraction form
    352,135,770/772,295,988 = 772,295,988/x
  3. Step 3: Cross multiply
    352,135,770x = 772,295,988 × 772,295,988
  4. Step 4: Simplify right side
    352,135,770x = 596,441,093,080,896,128
  5. Step 5: Solve for x
    x = 596,441,093,080,896,128/352,135,770
  6. Step 6: Final answer
    x = 1,693,781,614.63

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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.