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Finding the Third Proportional to 274,828,900.13 and 599,040,260.25

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Solution

The third proportional to 274,828,900.13 and 599,040,260.25 is: 1,305,718,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,828,900.13 : 599,040,260.25 = 599,040,260.25 : x
  2. Step 2: Convert to fraction form
    274,828,900.13/599,040,260.25 = 599,040,260.25/x
  3. Step 3: Cross multiply
    274,828,900.13x = 599,040,260.25 × 599,040,260.25
  4. Step 4: Simplify right side
    274,828,900.13x = 358,849,233,400,387,712
  5. Step 5: Solve for x
    x = 358,849,233,400,387,712/274,828,900.13
  6. Step 6: Final answer
    x = 1,305,718,697.11

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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.