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Finding the Third Proportional to 876,545,333,921.25 and 1,885,007,726,475.80

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Solution

The third proportional to 876,545,333,921.25 and 1,885,007,726,475.80 is: 4,053,702,633,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,545,333,921.25 : 1,885,007,726,475.80 = 1,885,007,726,475.80 : x
  2. Step 2: Convert to fraction form
    876,545,333,921.25/1,885,007,726,475.80 = 1,885,007,726,475.80/x
  3. Step 3: Cross multiply
    876,545,333,921.25x = 1,885,007,726,475.80 × 1,885,007,726,475.80
  4. Step 4: Simplify right side
    876,545,333,921.25x = 3,553,254,128,873,464,762,728,448
  5. Step 5: Solve for x
    x = 3,553,254,128,873,464,762,728,448/876,545,333,921.25
  6. Step 6: Final answer
    x = 4,053,702,633,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.