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Finding the Third Proportional to 7,767,856 and 11,888,332

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Solution

The third proportional to 7,767,856 and 11,888,332 is: 18,194,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767,856 : 11,888,332 = 11,888,332 : x
  2. Step 2: Convert to fraction form
    7,767,856/11,888,332 = 11,888,332/x
  3. Step 3: Cross multiply
    7,767,856x = 11,888,332 × 11,888,332
  4. Step 4: Simplify right side
    7,767,856x = 141,332,437,742,224
  5. Step 5: Solve for x
    x = 141,332,437,742,224/7,767,856
  6. Step 6: Final answer
    x = 18,194,523.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.