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Finding the Third Proportional to 232,462,497 and 510,267,336

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Solution

The third proportional to 232,462,497 and 510,267,336 is: 1,120,063,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,462,497 : 510,267,336 = 510,267,336 : x
  2. Step 2: Convert to fraction form
    232,462,497/510,267,336 = 510,267,336/x
  3. Step 3: Cross multiply
    232,462,497x = 510,267,336 × 510,267,336
  4. Step 4: Simplify right side
    232,462,497x = 260,372,754,188,536,896
  5. Step 5: Solve for x
    x = 260,372,754,188,536,896/232,462,497
  6. Step 6: Final answer
    x = 1,120,063,483.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.