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Finding the Third Proportional to 2,774,671,471.50 and 6,474,457,176

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Solution

The third proportional to 2,774,671,471.50 and 6,474,457,176 is: 15,107,588,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,671,471.50 : 6,474,457,176 = 6,474,457,176 : x
  2. Step 2: Convert to fraction form
    2,774,671,471.50/6,474,457,176 = 6,474,457,176/x
  3. Step 3: Cross multiply
    2,774,671,471.50x = 6,474,457,176 × 6,474,457,176
  4. Step 4: Simplify right side
    2,774,671,471.50x = 41,918,595,723,857,895,424
  5. Step 5: Solve for x
    x = 41,918,595,723,857,895,424/2,774,671,471.50
  6. Step 6: Final answer
    x = 15,107,588,827.88

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.