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Finding the Third Proportional to 36,522,722,248 and 78,541,988,607

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Solution

The third proportional to 36,522,722,248 and 78,541,988,607 is: 168,904,276,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522,722,248 : 78,541,988,607 = 78,541,988,607 : x
  2. Step 2: Convert to fraction form
    36,522,722,248/78,541,988,607 = 78,541,988,607/x
  3. Step 3: Cross multiply
    36,522,722,248x = 78,541,988,607 × 78,541,988,607
  4. Step 4: Simplify right side
    36,522,722,248x = 6,168,843,974,342,118,211,584
  5. Step 5: Solve for x
    x = 6,168,843,974,342,118,211,584/36,522,722,248
  6. Step 6: Final answer
    x = 168,904,276,424.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.