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Finding the Third Proportional to 2,322,570,861 and 3,440,318,719.50

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Solution

The third proportional to 2,322,570,861 and 3,440,318,719.50 is: 5,095,987,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,570,861 : 3,440,318,719.50 = 3,440,318,719.50 : x
  2. Step 2: Convert to fraction form
    2,322,570,861/3,440,318,719.50 = 3,440,318,719.50/x
  3. Step 3: Cross multiply
    2,322,570,861x = 3,440,318,719.50 × 3,440,318,719.50
  4. Step 4: Simplify right side
    2,322,570,861x = 11,835,792,891,742,119,936
  5. Step 5: Solve for x
    x = 11,835,792,891,742,119,936/2,322,570,861
  6. Step 6: Final answer
    x = 5,095,987,851.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.