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Finding the Third Proportional to 6,469,487,740 and 9,245,066,562

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Solution

The third proportional to 6,469,487,740 and 9,245,066,562 is: 13,211,441,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,487,740 : 9,245,066,562 = 9,245,066,562 : x
  2. Step 2: Convert to fraction form
    6,469,487,740/9,245,066,562 = 9,245,066,562/x
  3. Step 3: Cross multiply
    6,469,487,740x = 9,245,066,562 × 9,245,066,562
  4. Step 4: Simplify right side
    6,469,487,740x = 85,471,255,735,810,506,752
  5. Step 5: Solve for x
    x = 85,471,255,735,810,506,752/6,469,487,740
  6. Step 6: Final answer
    x = 13,211,441,024.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.