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Finding the Third Proportional to 657,628,770 and 1,431,026,694

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Solution

The third proportional to 657,628,770 and 1,431,026,694 is: 3,113,971,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,628,770 : 1,431,026,694 = 1,431,026,694 : x
  2. Step 2: Convert to fraction form
    657,628,770/1,431,026,694 = 1,431,026,694/x
  3. Step 3: Cross multiply
    657,628,770x = 1,431,026,694 × 1,431,026,694
  4. Step 4: Simplify right side
    657,628,770x = 2,047,837,398,940,569,600
  5. Step 5: Solve for x
    x = 2,047,837,398,940,569,600/657,628,770
  6. Step 6: Final answer
    x = 3,113,971,730.50

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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.