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Finding the Third Proportional to 66,596,265,832.50 and 95,722,209,276

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Solution

The third proportional to 66,596,265,832.50 and 95,722,209,276 is: 137,586,413,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596,265,832.50 : 95,722,209,276 = 95,722,209,276 : x
  2. Step 2: Convert to fraction form
    66,596,265,832.50/95,722,209,276 = 95,722,209,276/x
  3. Step 3: Cross multiply
    66,596,265,832.50x = 95,722,209,276 × 95,722,209,276
  4. Step 4: Simplify right side
    66,596,265,832.50x = 9,162,741,348,678,340,968,448
  5. Step 5: Solve for x
    x = 9,162,741,348,678,340,968,448/66,596,265,832.50
  6. Step 6: Final answer
    x = 137,586,413,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.