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Finding the Third Proportional to 6,722,862 and 14,585,697

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Solution

The third proportional to 6,722,862 and 14,585,697 is: 31,644,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722,862 : 14,585,697 = 14,585,697 : x
  2. Step 2: Convert to fraction form
    6,722,862/14,585,697 = 14,585,697/x
  3. Step 3: Cross multiply
    6,722,862x = 14,585,697 × 14,585,697
  4. Step 4: Simplify right side
    6,722,862x = 212,742,556,975,809
  5. Step 5: Solve for x
    x = 212,742,556,975,809/6,722,862
  6. Step 6: Final answer
    x = 31,644,641.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.