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Finding the Third Proportional to 6,372,048,132 and 9,973,792,224

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Solution

The third proportional to 6,372,048,132 and 9,973,792,224 is: 15,611,390,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372,048,132 : 9,973,792,224 = 9,973,792,224 : x
  2. Step 2: Convert to fraction form
    6,372,048,132/9,973,792,224 = 9,973,792,224/x
  3. Step 3: Cross multiply
    6,372,048,132x = 9,973,792,224 × 9,973,792,224
  4. Step 4: Simplify right side
    6,372,048,132x = 99,476,531,327,522,865,152
  5. Step 5: Solve for x
    x = 99,476,531,327,522,865,152/6,372,048,132
  6. Step 6: Final answer
    x = 15,611,390,445.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.