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Finding the Third Proportional to 855,814,762,167.75 and 1,865,403,106,906.50

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Solution

The third proportional to 855,814,762,167.75 and 1,865,403,106,906.50 is: 4,065,983,557,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,814,762,167.75 : 1,865,403,106,906.50 = 1,865,403,106,906.50 : x
  2. Step 2: Convert to fraction form
    855,814,762,167.75/1,865,403,106,906.50 = 1,865,403,106,906.50/x
  3. Step 3: Cross multiply
    855,814,762,167.75x = 1,865,403,106,906.50 × 1,865,403,106,906.50
  4. Step 4: Simplify right side
    855,814,762,167.75x = 3,479,728,751,256,423,119,192,064
  5. Step 5: Solve for x
    x = 3,479,728,751,256,423,119,192,064/855,814,762,167.75
  6. Step 6: Final answer
    x = 4,065,983,557,519.37

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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.