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Finding the Third Proportional to 61,836,864 and 134,328,832

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Solution

The third proportional to 61,836,864 and 134,328,832 is: 291,803,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,836,864 : 134,328,832 = 134,328,832 : x
  2. Step 2: Convert to fraction form
    61,836,864/134,328,832 = 134,328,832/x
  3. Step 3: Cross multiply
    61,836,864x = 134,328,832 × 134,328,832
  4. Step 4: Simplify right side
    61,836,864x = 18,044,235,106,484,224
  5. Step 5: Solve for x
    x = 18,044,235,106,484,224/61,836,864
  6. Step 6: Final answer
    x = 291,803,851.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.