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Finding the Third Proportional to 4,514,283 and 9,764,859

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Solution

The third proportional to 4,514,283 and 9,764,859 is: 21,122,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,283 : 9,764,859 = 9,764,859 : x
  2. Step 2: Convert to fraction form
    4,514,283/9,764,859 = 9,764,859/x
  3. Step 3: Cross multiply
    4,514,283x = 9,764,859 × 9,764,859
  4. Step 4: Simplify right side
    4,514,283x = 95,352,471,289,881
  5. Step 5: Solve for x
    x = 95,352,471,289,881/4,514,283
  6. Step 6: Final answer
    x = 21,122,395.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.