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Finding the Third Proportional to 7,011,680 and 10,827,120

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Solution

The third proportional to 7,011,680 and 10,827,120 is: 16,718,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011,680 : 10,827,120 = 10,827,120 : x
  2. Step 2: Convert to fraction form
    7,011,680/10,827,120 = 10,827,120/x
  3. Step 3: Cross multiply
    7,011,680x = 10,827,120 × 10,827,120
  4. Step 4: Simplify right side
    7,011,680x = 117,226,527,494,400
  5. Step 5: Solve for x
    x = 117,226,527,494,400/7,011,680
  6. Step 6: Final answer
    x = 16,718,750.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.