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Finding the Third Proportional to 4,660,290 and 9,968,285.25

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Solution

The third proportional to 4,660,290 and 9,968,285.25 is: 21,322,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,290 : 9,968,285.25 = 9,968,285.25 : x
  2. Step 2: Convert to fraction form
    4,660,290/9,968,285.25 = 9,968,285.25/x
  3. Step 3: Cross multiply
    4,660,290x = 9,968,285.25 × 9,968,285.25
  4. Step 4: Simplify right side
    4,660,290x = 99,366,710,825,367.56
  5. Step 5: Solve for x
    x = 99,366,710,825,367.56/4,660,290
  6. Step 6: Final answer
    x = 21,322,001.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.