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Finding the Third Proportional to 5,190,874.50 and 11,358,715.13

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Solution

The third proportional to 5,190,874.50 and 11,358,715.13 is: 24,855,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190,874.50 : 11,358,715.13 = 11,358,715.13 : x
  2. Step 2: Convert to fraction form
    5,190,874.50/11,358,715.13 = 11,358,715.13/x
  3. Step 3: Cross multiply
    5,190,874.50x = 11,358,715.13 × 11,358,715.13
  4. Step 4: Simplify right side
    5,190,874.50x = 129,020,409,290,903.77
  5. Step 5: Solve for x
    x = 129,020,409,290,903.77/5,190,874.50
  6. Step 6: Final answer
    x = 24,855,235.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.