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Finding the Third Proportional to 27,128,306,304 and 36,641,225,340

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Solution

The third proportional to 27,128,306,304 and 36,641,225,340 is: 49,489,982,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128,306,304 : 36,641,225,340 = 36,641,225,340 : x
  2. Step 2: Convert to fraction form
    27,128,306,304/36,641,225,340 = 36,641,225,340/x
  3. Step 3: Cross multiply
    27,128,306,304x = 36,641,225,340 × 36,641,225,340
  4. Step 4: Simplify right side
    27,128,306,304x = 1,342,579,394,416,658,087,936
  5. Step 5: Solve for x
    x = 1,342,579,394,416,658,087,936/27,128,306,304
  6. Step 6: Final answer
    x = 49,489,982,137.91

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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.