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Finding the Third Proportional to 2,966,219,149 and 4,039,484,182.50

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Solution

The third proportional to 2,966,219,149 and 4,039,484,182.50 is: 5,501,087,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,219,149 : 4,039,484,182.50 = 4,039,484,182.50 : x
  2. Step 2: Convert to fraction form
    2,966,219,149/4,039,484,182.50 = 4,039,484,182.50/x
  3. Step 3: Cross multiply
    2,966,219,149x = 4,039,484,182.50 × 4,039,484,182.50
  4. Step 4: Simplify right side
    2,966,219,149x = 16,317,432,460,667,693,056
  5. Step 5: Solve for x
    x = 16,317,432,460,667,693,056/2,966,219,149
  6. Step 6: Final answer
    x = 5,501,087,964.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.