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Finding the Third Proportional to 5,160,423,448 and 7,968,765,852

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Solution

The third proportional to 5,160,423,448 and 7,968,765,852 is: 12,305,429,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160,423,448 : 7,968,765,852 = 7,968,765,852 : x
  2. Step 2: Convert to fraction form
    5,160,423,448/7,968,765,852 = 7,968,765,852/x
  3. Step 3: Cross multiply
    5,160,423,448x = 7,968,765,852 × 7,968,765,852
  4. Step 4: Simplify right side
    5,160,423,448x = 63,501,229,204,001,284,096
  5. Step 5: Solve for x
    x = 63,501,229,204,001,284,096/5,160,423,448
  6. Step 6: Final answer
    x = 12,305,429,940.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.