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Finding the Third Proportional to 9,809,583 and 22,912,321.50

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Solution

The third proportional to 9,809,583 and 22,912,321.50 is: 53,516,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809,583 : 22,912,321.50 = 22,912,321.50 : x
  2. Step 2: Convert to fraction form
    9,809,583/22,912,321.50 = 22,912,321.50/x
  3. Step 3: Cross multiply
    9,809,583x = 22,912,321.50 × 22,912,321.50
  4. Step 4: Simplify right side
    9,809,583x = 524,974,476,519,362.25
  5. Step 5: Solve for x
    x = 524,974,476,519,362.25/9,809,583
  6. Step 6: Final answer
    x = 53,516,492.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.