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Finding the Third Proportional to 336,279,331.69 and 727,828,345.13

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Solution

The third proportional to 336,279,331.69 and 727,828,345.13 is: 1,575,279,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,279,331.69 : 727,828,345.13 = 727,828,345.13 : x
  2. Step 2: Convert to fraction form
    336,279,331.69/727,828,345.13 = 727,828,345.13/x
  3. Step 3: Cross multiply
    336,279,331.69x = 727,828,345.13 × 727,828,345.13
  4. Step 4: Simplify right side
    336,279,331.69x = 529,734,099,967,396,096
  5. Step 5: Solve for x
    x = 529,734,099,967,396,096/336,279,331.69
  6. Step 6: Final answer
    x = 1,575,279,983.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.