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Finding the Third Proportional to 403,792,314.75 and 876,498,963.75

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Solution

The third proportional to 403,792,314.75 and 876,498,963.75 is: 1,902,588,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792,314.75 : 876,498,963.75 = 876,498,963.75 : x
  2. Step 2: Convert to fraction form
    403,792,314.75/876,498,963.75 = 876,498,963.75/x
  3. Step 3: Cross multiply
    403,792,314.75x = 876,498,963.75 × 876,498,963.75
  4. Step 4: Simplify right side
    403,792,314.75x = 768,250,433,454,823,808
  5. Step 5: Solve for x
    x = 768,250,433,454,823,808/403,792,314.75
  6. Step 6: Final answer
    x = 1,902,588,051.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.