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Finding the Third Proportional to 555,079,071,546 and 748,932,000,361

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Solution

The third proportional to 555,079,071,546 and 748,932,000,361 is: 1,010,485,118,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,079,071,546 : 748,932,000,361 = 748,932,000,361 : x
  2. Step 2: Convert to fraction form
    555,079,071,546/748,932,000,361 = 748,932,000,361/x
  3. Step 3: Cross multiply
    555,079,071,546x = 748,932,000,361 × 748,932,000,361
  4. Step 4: Simplify right side
    555,079,071,546x = 560,899,141,164,728,915,591,168
  5. Step 5: Solve for x
    x = 560,899,141,164,728,915,591,168/555,079,071,546
  6. Step 6: Final answer
    x = 1,010,485,118,097.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.