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Finding the Third Proportional to 27,128,306,310 and 36,641,225,349

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Solution

The third proportional to 27,128,306,310 and 36,641,225,349 is: 49,489,982,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128,306,310 : 36,641,225,349 = 36,641,225,349 : x
  2. Step 2: Convert to fraction form
    27,128,306,310/36,641,225,349 = 36,641,225,349/x
  3. Step 3: Cross multiply
    27,128,306,310x = 36,641,225,349 × 36,641,225,349
  4. Step 4: Simplify right side
    27,128,306,310x = 1,342,579,395,076,200,071,168
  5. Step 5: Solve for x
    x = 1,342,579,395,076,200,071,168/27,128,306,310
  6. Step 6: Final answer
    x = 49,489,982,151.27

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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.