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Finding the Third Proportional to 5,787,440.72 and 12,343,520.81

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Solution

The third proportional to 5,787,440.72 and 12,343,520.81 is: 26,326,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,440.72 : 12,343,520.81 = 12,343,520.81 : x
  2. Step 2: Convert to fraction form
    5,787,440.72/12,343,520.81 = 12,343,520.81/x
  3. Step 3: Cross multiply
    5,787,440.72x = 12,343,520.81 × 12,343,520.81
  4. Step 4: Simplify right side
    5,787,440.72x = 152,362,506,048,620.66
  5. Step 5: Solve for x
    x = 152,362,506,048,620.66/5,787,440.72
  6. Step 6: Final answer
    x = 26,326,404.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.