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Finding the Third Proportional to 447,237,600.75 and 956,653,789.50

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Solution

The third proportional to 447,237,600.75 and 956,653,789.50 is: 2,046,309,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,237,600.75 : 956,653,789.50 = 956,653,789.50 : x
  2. Step 2: Convert to fraction form
    447,237,600.75/956,653,789.50 = 956,653,789.50/x
  3. Step 3: Cross multiply
    447,237,600.75x = 956,653,789.50 × 956,653,789.50
  4. Step 4: Simplify right side
    447,237,600.75x = 915,186,472,964,710,272
  5. Step 5: Solve for x
    x = 915,186,472,964,710,272/447,237,600.75
  6. Step 6: Final answer
    x = 2,046,309,325.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.