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Finding the Third Proportional to 4,211,820 and 9,096,129

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Solution

The third proportional to 4,211,820 and 9,096,129 is: 19,644,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,820 : 9,096,129 = 9,096,129 : x
  2. Step 2: Convert to fraction form
    4,211,820/9,096,129 = 9,096,129/x
  3. Step 3: Cross multiply
    4,211,820x = 9,096,129 × 9,096,129
  4. Step 4: Simplify right side
    4,211,820x = 82,739,562,784,641
  5. Step 5: Solve for x
    x = 82,739,562,784,641/4,211,820
  6. Step 6: Final answer
    x = 19,644,610.35

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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.