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Finding the Third Proportional to 82,283,988,771 and 125,885,289,854

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Solution

The third proportional to 82,283,988,771 and 125,885,289,854 is: 192,590,398,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283,988,771 : 125,885,289,854 = 125,885,289,854 : x
  2. Step 2: Convert to fraction form
    82,283,988,771/125,885,289,854 = 125,885,289,854/x
  3. Step 3: Cross multiply
    82,283,988,771x = 125,885,289,854 × 125,885,289,854
  4. Step 4: Simplify right side
    82,283,988,771x = 15,847,106,201,625,594,691,584
  5. Step 5: Solve for x
    x = 15,847,106,201,625,594,691,584/82,283,988,771
  6. Step 6: Final answer
    x = 192,590,398,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.