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Finding the Third Proportional to 7,386,434 and 11,346,467

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Solution

The third proportional to 7,386,434 and 11,346,467 is: 17,429,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386,434 : 11,346,467 = 11,346,467 : x
  2. Step 2: Convert to fraction form
    7,386,434/11,346,467 = 11,346,467/x
  3. Step 3: Cross multiply
    7,386,434x = 11,346,467 × 11,346,467
  4. Step 4: Simplify right side
    7,386,434x = 128,742,313,382,089
  5. Step 5: Solve for x
    x = 128,742,313,382,089/7,386,434
  6. Step 6: Final answer
    x = 17,429,562.54

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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.