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Finding the Third Proportional to 624,586,324.50 and 970,236,488.25

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Solution

The third proportional to 624,586,324.50 and 970,236,488.25 is: 1,507,171,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,586,324.50 : 970,236,488.25 = 970,236,488.25 : x
  2. Step 2: Convert to fraction form
    624,586,324.50/970,236,488.25 = 970,236,488.25/x
  3. Step 3: Cross multiply
    624,586,324.50x = 970,236,488.25 × 970,236,488.25
  4. Step 4: Simplify right side
    624,586,324.50x = 941,358,843,131,692,416
  5. Step 5: Solve for x
    x = 941,358,843,131,692,416/624,586,324.50
  6. Step 6: Final answer
    x = 1,507,171,717.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.