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Finding the Third Proportional to 10,861,440.75 and 16,402,880.25

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Solution

The third proportional to 10,861,440.75 and 16,402,880.25 is: 24,771,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861,440.75 : 16,402,880.25 = 16,402,880.25 : x
  2. Step 2: Convert to fraction form
    10,861,440.75/16,402,880.25 = 16,402,880.25/x
  3. Step 3: Cross multiply
    10,861,440.75x = 16,402,880.25 × 16,402,880.25
  4. Step 4: Simplify right side
    10,861,440.75x = 269,054,480,495,840.06
  5. Step 5: Solve for x
    x = 269,054,480,495,840.06/10,861,440.75
  6. Step 6: Final answer
    x = 24,771,527.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.