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Finding the Third Proportional to 4,312,562,764 and 6,451,604,725

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Solution

The third proportional to 4,312,562,764 and 6,451,604,725 is: 9,651,616,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,562,764 : 6,451,604,725 = 6,451,604,725 : x
  2. Step 2: Convert to fraction form
    4,312,562,764/6,451,604,725 = 6,451,604,725/x
  3. Step 3: Cross multiply
    4,312,562,764x = 6,451,604,725 × 6,451,604,725
  4. Step 4: Simplify right side
    4,312,562,764x = 41,623,203,527,642,324,992
  5. Step 5: Solve for x
    x = 41,623,203,527,642,324,992/4,312,562,764
  6. Step 6: Final answer
    x = 9,651,616,870.39

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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.