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Finding the Third Proportional to 326,517,634.41 and 710,427,821.34

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Solution

The third proportional to 326,517,634.41 and 710,427,821.34 is: 1,545,728,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,517,634.41 : 710,427,821.34 = 710,427,821.34 : x
  2. Step 2: Convert to fraction form
    326,517,634.41/710,427,821.34 = 710,427,821.34/x
  3. Step 3: Cross multiply
    326,517,634.41x = 710,427,821.34 × 710,427,821.34
  4. Step 4: Simplify right side
    326,517,634.41x = 504,707,689,339,227,200
  5. Step 5: Solve for x
    x = 504,707,689,339,227,200/326,517,634.41
  6. Step 6: Final answer
    x = 1,545,728,733.02

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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.