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Finding the Third Proportional to 27,731,497 and 43,276,061

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Solution

The third proportional to 27,731,497 and 43,276,061 is: 67,533,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731,497 : 43,276,061 = 43,276,061 : x
  2. Step 2: Convert to fraction form
    27,731,497/43,276,061 = 43,276,061/x
  3. Step 3: Cross multiply
    27,731,497x = 43,276,061 × 43,276,061
  4. Step 4: Simplify right side
    27,731,497x = 1,872,817,455,675,721
  5. Step 5: Solve for x
    x = 1,872,817,455,675,721/27,731,497
  6. Step 6: Final answer
    x = 67,533,947.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.