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Finding the Third Proportional to 5,091,756,294 and 7,606,276,137

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Solution

The third proportional to 5,091,756,294 and 7,606,276,137 is: 11,362,569,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091,756,294 : 7,606,276,137 = 7,606,276,137 : x
  2. Step 2: Convert to fraction form
    5,091,756,294/7,606,276,137 = 7,606,276,137/x
  3. Step 3: Cross multiply
    5,091,756,294x = 7,606,276,137 × 7,606,276,137
  4. Step 4: Simplify right side
    5,091,756,294x = 57,855,436,672,295,641,088
  5. Step 5: Solve for x
    x = 57,855,436,672,295,641,088/5,091,756,294
  6. Step 6: Final answer
    x = 11,362,569,874.07

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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.