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Finding the Third Proportional to 491,771,640 and 747,727,194

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Solution

The third proportional to 491,771,640 and 747,727,194 is: 1,136,901,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,771,640 : 747,727,194 = 747,727,194 : x
  2. Step 2: Convert to fraction form
    491,771,640/747,727,194 = 747,727,194/x
  3. Step 3: Cross multiply
    491,771,640x = 747,727,194 × 747,727,194
  4. Step 4: Simplify right side
    491,771,640x = 559,095,956,647,113,664
  5. Step 5: Solve for x
    x = 559,095,956,647,113,664/491,771,640
  6. Step 6: Final answer
    x = 1,136,901,584.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.