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Finding the Third Proportional to 43,411,167,944.50 and 94,034,256,023

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Solution

The third proportional to 43,411,167,944.50 and 94,034,256,023 is: 203,690,472,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,411,167,944.50 : 94,034,256,023 = 94,034,256,023 : x
  2. Step 2: Convert to fraction form
    43,411,167,944.50/94,034,256,023 = 94,034,256,023/x
  3. Step 3: Cross multiply
    43,411,167,944.50x = 94,034,256,023 × 94,034,256,023
  4. Step 4: Simplify right side
    43,411,167,944.50x = 8,842,441,305,799,112,261,632
  5. Step 5: Solve for x
    x = 8,842,441,305,799,112,261,632/43,411,167,944.50
  6. Step 6: Final answer
    x = 203,690,472,394.20

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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.