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Finding the Third Proportional to 27,268,834 and 43,411,128

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Solution

The third proportional to 27,268,834 and 43,411,128 is: 69,109,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268,834 : 43,411,128 = 43,411,128 : x
  2. Step 2: Convert to fraction form
    27,268,834/43,411,128 = 43,411,128/x
  3. Step 3: Cross multiply
    27,268,834x = 43,411,128 × 43,411,128
  4. Step 4: Simplify right side
    27,268,834x = 1,884,526,034,232,384
  5. Step 5: Solve for x
    x = 1,884,526,034,232,384/27,268,834
  6. Step 6: Final answer
    x = 69,109,153.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.