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Finding the Third Proportional to 4,201,903.69 and 9,178,005.38

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Solution

The third proportional to 4,201,903.69 and 9,178,005.38 is: 20,047,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,903.69 : 9,178,005.38 = 9,178,005.38 : x
  2. Step 2: Convert to fraction form
    4,201,903.69/9,178,005.38 = 9,178,005.38/x
  3. Step 3: Cross multiply
    4,201,903.69x = 9,178,005.38 × 9,178,005.38
  4. Step 4: Simplify right side
    4,201,903.69x = 84,235,782,663,528.89
  5. Step 5: Solve for x
    x = 84,235,782,663,528.89/4,201,903.69
  6. Step 6: Final answer
    x = 20,047,052.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.