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Finding the Third Proportional to 12,343,288,270 and 27,044,729,684

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Solution

The third proportional to 12,343,288,270 and 27,044,729,684 is: 59,256,284,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343,288,270 : 27,044,729,684 = 27,044,729,684 : x
  2. Step 2: Convert to fraction form
    12,343,288,270/27,044,729,684 = 27,044,729,684/x
  3. Step 3: Cross multiply
    12,343,288,270x = 27,044,729,684 × 27,044,729,684
  4. Step 4: Simplify right side
    12,343,288,270x = 731,417,403,680,630,767,616
  5. Step 5: Solve for x
    x = 731,417,403,680,630,767,616/12,343,288,270
  6. Step 6: Final answer
    x = 59,256,284,685.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.