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Finding the Third Proportional to 442,572,121.50 and 965,239,473

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Solution

The third proportional to 442,572,121.50 and 965,239,473 is: 2,105,164,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,572,121.50 : 965,239,473 = 965,239,473 : x
  2. Step 2: Convert to fraction form
    442,572,121.50/965,239,473 = 965,239,473/x
  3. Step 3: Cross multiply
    442,572,121.50x = 965,239,473 × 965,239,473
  4. Step 4: Simplify right side
    442,572,121.50x = 931,687,240,237,317,760
  5. Step 5: Solve for x
    x = 931,687,240,237,317,760/442,572,121.50
  6. Step 6: Final answer
    x = 2,105,164,774.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.