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Finding the Third Proportional to 2,272,898.50 and 4,900,037

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Solution

The third proportional to 2,272,898.50 and 4,900,037 is: 10,563,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,898.50 : 4,900,037 = 4,900,037 : x
  2. Step 2: Convert to fraction form
    2,272,898.50/4,900,037 = 4,900,037/x
  3. Step 3: Cross multiply
    2,272,898.50x = 4,900,037 × 4,900,037
  4. Step 4: Simplify right side
    2,272,898.50x = 24,010,362,601,369
  5. Step 5: Solve for x
    x = 24,010,362,601,369/2,272,898.50
  6. Step 6: Final answer
    x = 10,563,763.67

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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.