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Finding the Third Proportional to 4,312,562,812 and 6,451,604,796

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Solution

The third proportional to 4,312,562,812 and 6,451,604,796 is: 9,651,616,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,562,812 : 6,451,604,796 = 6,451,604,796 : x
  2. Step 2: Convert to fraction form
    4,312,562,812/6,451,604,796 = 6,451,604,796/x
  3. Step 3: Cross multiply
    4,312,562,812x = 6,451,604,796 × 6,451,604,796
  4. Step 4: Simplify right side
    4,312,562,812x = 41,623,204,443,770,200,064
  5. Step 5: Solve for x
    x = 41,623,204,443,770,200,064/4,312,562,812
  6. Step 6: Final answer
    x = 9,651,616,975.40

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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.