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Finding the Third Proportional to 1,440,538,914 and 3,334,639,962

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Solution

The third proportional to 1,440,538,914 and 3,334,639,962 is: 7,719,210,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,538,914 : 3,334,639,962 = 3,334,639,962 : x
  2. Step 2: Convert to fraction form
    1,440,538,914/3,334,639,962 = 3,334,639,962/x
  3. Step 3: Cross multiply
    1,440,538,914x = 3,334,639,962 × 3,334,639,962
  4. Step 4: Simplify right side
    1,440,538,914x = 11,119,823,676,167,360,512
  5. Step 5: Solve for x
    x = 11,119,823,676,167,360,512/1,440,538,914
  6. Step 6: Final answer
    x = 7,719,210,892.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.