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Finding the Third Proportional to 349,865,303,332.50 and 522,505,318,433.60

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Solution

The third proportional to 349,865,303,332.50 and 522,505,318,433.60 is: 780,334,046,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,865,303,332.50 : 522,505,318,433.60 = 522,505,318,433.60 : x
  2. Step 2: Convert to fraction form
    349,865,303,332.50/522,505,318,433.60 = 522,505,318,433.60/x
  3. Step 3: Cross multiply
    349,865,303,332.50x = 522,505,318,433.60 × 522,505,318,433.60
  4. Step 4: Simplify right side
    349,865,303,332.50x = 273,011,807,791,397,726,060,544
  5. Step 5: Solve for x
    x = 273,011,807,791,397,726,060,544/349,865,303,332.50
  6. Step 6: Final answer
    x = 780,334,046,248.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.