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Finding the Third Proportional to 6,112,854,516 and 9,175,751,784

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Solution

The third proportional to 6,112,854,516 and 9,175,751,784 is: 13,773,339,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112,854,516 : 9,175,751,784 = 9,175,751,784 : x
  2. Step 2: Convert to fraction form
    6,112,854,516/9,175,751,784 = 9,175,751,784/x
  3. Step 3: Cross multiply
    6,112,854,516x = 9,175,751,784 × 9,175,751,784
  4. Step 4: Simplify right side
    6,112,854,516x = 84,194,420,801,579,188,224
  5. Step 5: Solve for x
    x = 84,194,420,801,579,188,224/6,112,854,516
  6. Step 6: Final answer
    x = 13,773,339,539.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.