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Finding the Third Proportional to 3,709,670,896 and 8,000,456,123

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Solution

The third proportional to 3,709,670,896 and 8,000,456,123 is: 17,254,171,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,670,896 : 8,000,456,123 = 8,000,456,123 : x
  2. Step 2: Convert to fraction form
    3,709,670,896/8,000,456,123 = 8,000,456,123/x
  3. Step 3: Cross multiply
    3,709,670,896x = 8,000,456,123 × 8,000,456,123
  4. Step 4: Simplify right side
    3,709,670,896x = 64,007,298,176,048,193,536
  5. Step 5: Solve for x
    x = 64,007,298,176,048,193,536/3,709,670,896
  6. Step 6: Final answer
    x = 17,254,171,588.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.