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Finding the Third Proportional to 648,786,242 and 1,343,560,722

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Solution

The third proportional to 648,786,242 and 1,343,560,722 is: 2,782,357,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,786,242 : 1,343,560,722 = 1,343,560,722 : x
  2. Step 2: Convert to fraction form
    648,786,242/1,343,560,722 = 1,343,560,722/x
  3. Step 3: Cross multiply
    648,786,242x = 1,343,560,722 × 1,343,560,722
  4. Step 4: Simplify right side
    648,786,242x = 1,805,155,413,701,161,216
  5. Step 5: Solve for x
    x = 1,805,155,413,701,161,216/648,786,242
  6. Step 6: Final answer
    x = 2,782,357,727.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.