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Finding the Third Proportional to 27,411,312,175 and 36,984,296,314

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Solution

The third proportional to 27,411,312,175 and 36,984,296,314 is: 49,900,499,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411,312,175 : 36,984,296,314 = 36,984,296,314 : x
  2. Step 2: Convert to fraction form
    27,411,312,175/36,984,296,314 = 36,984,296,314/x
  3. Step 3: Cross multiply
    27,411,312,175x = 36,984,296,314 × 36,984,296,314
  4. Step 4: Simplify right side
    27,411,312,175x = 1,367,838,173,841,753,899,008
  5. Step 5: Solve for x
    x = 1,367,838,173,841,753,899,008/27,411,312,175
  6. Step 6: Final answer
    x = 49,900,499,659.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.