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Finding the Third Proportional to 4,203,650 and 8,742,784

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Solution

The third proportional to 4,203,650 and 8,742,784 is: 18,183,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203,650 : 8,742,784 = 8,742,784 : x
  2. Step 2: Convert to fraction form
    4,203,650/8,742,784 = 8,742,784/x
  3. Step 3: Cross multiply
    4,203,650x = 8,742,784 × 8,742,784
  4. Step 4: Simplify right side
    4,203,650x = 76,436,272,070,656
  5. Step 5: Solve for x
    x = 76,436,272,070,656/4,203,650
  6. Step 6: Final answer
    x = 18,183,310.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.