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Finding the Third Proportional to 367,893,122 and 511,520,835

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Solution

The third proportional to 367,893,122 and 511,520,835 is: 711,221,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,893,122 : 511,520,835 = 511,520,835 : x
  2. Step 2: Convert to fraction form
    367,893,122/511,520,835 = 511,520,835/x
  3. Step 3: Cross multiply
    367,893,122x = 511,520,835 × 511,520,835
  4. Step 4: Simplify right side
    367,893,122x = 261,653,564,639,097,216
  5. Step 5: Solve for x
    x = 261,653,564,639,097,216/367,893,122
  6. Step 6: Final answer
    x = 711,221,680.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.