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Finding the Third Proportional to 233,930,880 and 506,912,832

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Solution

The third proportional to 233,930,880 and 506,912,832 is: 1,098,446,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,930,880 : 506,912,832 = 506,912,832 : x
  2. Step 2: Convert to fraction form
    233,930,880/506,912,832 = 506,912,832/x
  3. Step 3: Cross multiply
    233,930,880x = 506,912,832 × 506,912,832
  4. Step 4: Simplify right side
    233,930,880x = 256,960,619,246,260,224
  5. Step 5: Solve for x
    x = 256,960,619,246,260,224/233,930,880
  6. Step 6: Final answer
    x = 1,098,446,768.75

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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.