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Finding the Third Proportional to 233,132,551 and 510,067,462

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Solution

The third proportional to 233,132,551 and 510,067,462 is: 1,115,969,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,551 : 510,067,462 = 510,067,462 : x
  2. Step 2: Convert to fraction form
    233,132,551/510,067,462 = 510,067,462/x
  3. Step 3: Cross multiply
    233,132,551x = 510,067,462 × 510,067,462
  4. Step 4: Simplify right side
    233,132,551x = 260,168,815,791,121,440
  5. Step 5: Solve for x
    x = 260,168,815,791,121,440/233,132,551
  6. Step 6: Final answer
    x = 1,115,969,497.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.