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Finding the Third Proportional to 8,966,468 and 19,457,096

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Solution

The third proportional to 8,966,468 and 19,457,096 is: 42,221,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966,468 : 19,457,096 = 19,457,096 : x
  2. Step 2: Convert to fraction form
    8,966,468/19,457,096 = 19,457,096/x
  3. Step 3: Cross multiply
    8,966,468x = 19,457,096 × 19,457,096
  4. Step 4: Simplify right side
    8,966,468x = 378,578,584,753,216
  5. Step 5: Solve for x
    x = 378,578,584,753,216/8,966,468
  6. Step 6: Final answer
    x = 42,221,595.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.