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Finding the Third Proportional to 5,709,204 and 12,365,038.13

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Solution

The third proportional to 5,709,204 and 12,365,038.13 is: 26,780,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,204 : 12,365,038.13 = 12,365,038.13 : x
  2. Step 2: Convert to fraction form
    5,709,204/12,365,038.13 = 12,365,038.13/x
  3. Step 3: Cross multiply
    5,709,204x = 12,365,038.13 × 12,365,038.13
  4. Step 4: Simplify right side
    5,709,204x = 152,894,167,832,703.50
  5. Step 5: Solve for x
    x = 152,894,167,832,703.50/5,709,204
  6. Step 6: Final answer
    x = 26,780,295.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.