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Finding the Third Proportional to 5,091,756,296 and 7,606,276,140

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Solution

The third proportional to 5,091,756,296 and 7,606,276,140 is: 11,362,569,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091,756,296 : 7,606,276,140 = 7,606,276,140 : x
  2. Step 2: Convert to fraction form
    5,091,756,296/7,606,276,140 = 7,606,276,140/x
  3. Step 3: Cross multiply
    5,091,756,296x = 7,606,276,140 × 7,606,276,140
  4. Step 4: Simplify right side
    5,091,756,296x = 57,855,436,717,933,297,664
  5. Step 5: Solve for x
    x = 57,855,436,717,933,297,664/5,091,756,296
  6. Step 6: Final answer
    x = 11,362,569,878.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.