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Finding the Third Proportional to 3,655,200,957 and 5,650,474,672.50

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Solution

The third proportional to 3,655,200,957 and 5,650,474,672.50 is: 8,734,913,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655,200,957 : 5,650,474,672.50 = 5,650,474,672.50 : x
  2. Step 2: Convert to fraction form
    3,655,200,957/5,650,474,672.50 = 5,650,474,672.50/x
  3. Step 3: Cross multiply
    3,655,200,957x = 5,650,474,672.50 × 5,650,474,672.50
  4. Step 4: Simplify right side
    3,655,200,957x = 31,927,864,024,563,982,336
  5. Step 5: Solve for x
    x = 31,927,864,024,563,982,336/3,655,200,957
  6. Step 6: Final answer
    x = 8,734,913,456.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.