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Finding the Third Proportional to 9,227,089.69 and 21,361,454.16

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Solution

The third proportional to 9,227,089.69 and 21,361,454.16 is: 49,453,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227,089.69 : 21,361,454.16 = 21,361,454.16 : x
  2. Step 2: Convert to fraction form
    9,227,089.69/21,361,454.16 = 21,361,454.16/x
  3. Step 3: Cross multiply
    9,227,089.69x = 21,361,454.16 × 21,361,454.16
  4. Step 4: Simplify right side
    9,227,089.69x = 456,311,723,669,570.38
  5. Step 5: Solve for x
    x = 456,311,723,669,570.38/9,227,089.69
  6. Step 6: Final answer
    x = 49,453,483.07

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.