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Finding the Third Proportional to 508,964,905,288.10 and 759,033,673,722

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Solution

The third proportional to 508,964,905,288.10 and 759,033,673,722 is: 1,131,968,259,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,964,905,288.10 : 759,033,673,722 = 759,033,673,722 : x
  2. Step 2: Convert to fraction form
    508,964,905,288.10/759,033,673,722 = 759,033,673,722/x
  3. Step 3: Cross multiply
    508,964,905,288.10x = 759,033,673,722 × 759,033,673,722
  4. Step 4: Simplify right side
    508,964,905,288.10x = 576,132,117,843,915,535,548,416
  5. Step 5: Solve for x
    x = 576,132,117,843,915,535,548,416/508,964,905,288.10
  6. Step 6: Final answer
    x = 1,131,968,259,221.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.