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Finding the Third Proportional to 659,161,632 and 997,226,100

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Solution

The third proportional to 659,161,632 and 997,226,100 is: 1,508,673,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,161,632 : 997,226,100 = 997,226,100 : x
  2. Step 2: Convert to fraction form
    659,161,632/997,226,100 = 997,226,100/x
  3. Step 3: Cross multiply
    659,161,632x = 997,226,100 × 997,226,100
  4. Step 4: Simplify right side
    659,161,632x = 994,459,894,521,209,984
  5. Step 5: Solve for x
    x = 994,459,894,521,209,984/659,161,632
  6. Step 6: Final answer
    x = 1,508,673,815.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.