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Finding the Third Proportional to 182,703,631.50 and 431,162,024.06

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Solution

The third proportional to 182,703,631.50 and 431,162,024.06 is: 1,017,498,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,703,631.50 : 431,162,024.06 = 431,162,024.06 : x
  2. Step 2: Convert to fraction form
    182,703,631.50/431,162,024.06 = 431,162,024.06/x
  3. Step 3: Cross multiply
    182,703,631.50x = 431,162,024.06 × 431,162,024.06
  4. Step 4: Simplify right side
    182,703,631.50x = 185,900,690,993,671,840
  5. Step 5: Solve for x
    x = 185,900,690,993,671,840/182,703,631.50
  6. Step 6: Final answer
    x = 1,017,498,609.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.