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Finding the Third Proportional to 17,901,423 and 27,531,729

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Solution

The third proportional to 17,901,423 and 27,531,729 is: 42,342,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901,423 : 27,531,729 = 27,531,729 : x
  2. Step 2: Convert to fraction form
    17,901,423/27,531,729 = 27,531,729/x
  3. Step 3: Cross multiply
    17,901,423x = 27,531,729 × 27,531,729
  4. Step 4: Simplify right side
    17,901,423x = 757,996,101,729,441
  5. Step 5: Solve for x
    x = 757,996,101,729,441/17,901,423
  6. Step 6: Final answer
    x = 42,342,784.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.