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Finding the Third Proportional to 534,106,986 and 1,138,762,212

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Solution

The third proportional to 534,106,986 and 1,138,762,212 is: 2,427,939,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,106,986 : 1,138,762,212 = 1,138,762,212 : x
  2. Step 2: Convert to fraction form
    534,106,986/1,138,762,212 = 1,138,762,212/x
  3. Step 3: Cross multiply
    534,106,986x = 1,138,762,212 × 1,138,762,212
  4. Step 4: Simplify right side
    534,106,986x = 1,296,779,375,479,132,928
  5. Step 5: Solve for x
    x = 1,296,779,375,479,132,928/534,106,986
  6. Step 6: Final answer
    x = 2,427,939,363.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.