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Finding the Third Proportional to 4,421,724.75 and 9,668,282.63

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Solution

The third proportional to 4,421,724.75 and 9,668,282.63 is: 21,140,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421,724.75 : 9,668,282.63 = 9,668,282.63 : x
  2. Step 2: Convert to fraction form
    4,421,724.75/9,668,282.63 = 9,668,282.63/x
  3. Step 3: Cross multiply
    4,421,724.75x = 9,668,282.63 × 9,668,282.63
  4. Step 4: Simplify right side
    4,421,724.75x = 93,475,688,916,876.89
  5. Step 5: Solve for x
    x = 93,475,688,916,876.89/4,421,724.75
  6. Step 6: Final answer
    x = 21,140,096.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.