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Finding the Third Proportional to 1,249,669,541 and 2,687,410,147

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Solution

The third proportional to 1,249,669,541 and 2,687,410,147 is: 5,779,266,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,669,541 : 2,687,410,147 = 2,687,410,147 : x
  2. Step 2: Convert to fraction form
    1,249,669,541/2,687,410,147 = 2,687,410,147/x
  3. Step 3: Cross multiply
    1,249,669,541x = 2,687,410,147 × 2,687,410,147
  4. Step 4: Simplify right side
    1,249,669,541x = 7,222,173,298,198,561,792
  5. Step 5: Solve for x
    x = 7,222,173,298,198,561,792/1,249,669,541
  6. Step 6: Final answer
    x = 5,779,266,487.06

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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.