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Finding the Third Proportional to 4,742,664 and 10,204,640.19

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Solution

The third proportional to 4,742,664 and 10,204,640.19 is: 21,957,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742,664 : 10,204,640.19 = 10,204,640.19 : x
  2. Step 2: Convert to fraction form
    4,742,664/10,204,640.19 = 10,204,640.19/x
  3. Step 3: Cross multiply
    4,742,664x = 10,204,640.19 × 10,204,640.19
  4. Step 4: Simplify right side
    4,742,664x = 104,134,681,356,340.03
  5. Step 5: Solve for x
    x = 104,134,681,356,340.03/4,742,664
  6. Step 6: Final answer
    x = 21,957,001.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.