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Finding the Third Proportional to 209,742,096 and 427,811,424

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Solution

The third proportional to 209,742,096 and 427,811,424 is: 872,607,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,742,096 : 427,811,424 = 427,811,424 : x
  2. Step 2: Convert to fraction form
    209,742,096/427,811,424 = 427,811,424/x
  3. Step 3: Cross multiply
    209,742,096x = 427,811,424 × 427,811,424
  4. Step 4: Simplify right side
    209,742,096x = 183,022,614,504,907,776
  5. Step 5: Solve for x
    x = 183,022,614,504,907,776/209,742,096
  6. Step 6: Final answer
    x = 872,607,921.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.