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Finding the Third Proportional to 3,655,200,938 and 5,650,474,644

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Solution

The third proportional to 3,655,200,938 and 5,650,474,644 is: 8,734,913,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655,200,938 : 5,650,474,644 = 5,650,474,644 : x
  2. Step 2: Convert to fraction form
    3,655,200,938/5,650,474,644 = 5,650,474,644/x
  3. Step 3: Cross multiply
    3,655,200,938x = 5,650,474,644 × 5,650,474,644
  4. Step 4: Simplify right side
    3,655,200,938x = 31,927,863,702,486,925,312
  5. Step 5: Solve for x
    x = 31,927,863,702,486,925,312/3,655,200,938
  6. Step 6: Final answer
    x = 8,734,913,413.53

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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.