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Finding the Third Proportional to 4,742,666 and 10,204,645

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Solution

The third proportional to 4,742,666 and 10,204,645 is: 21,957,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742,666 : 10,204,645 = 10,204,645 : x
  2. Step 2: Convert to fraction form
    4,742,666/10,204,645 = 10,204,645/x
  3. Step 3: Cross multiply
    4,742,666x = 10,204,645 × 10,204,645
  4. Step 4: Simplify right side
    4,742,666x = 104,134,779,576,025
  5. Step 5: Solve for x
    x = 104,134,779,576,025/4,742,666
  6. Step 6: Final answer
    x = 21,957,013.12

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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.