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Finding the Third Proportional to 6,469,487,712 and 9,245,066,520

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Solution

The third proportional to 6,469,487,712 and 9,245,066,520 is: 13,211,440,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,487,712 : 9,245,066,520 = 9,245,066,520 : x
  2. Step 2: Convert to fraction form
    6,469,487,712/9,245,066,520 = 9,245,066,520/x
  3. Step 3: Cross multiply
    6,469,487,712x = 9,245,066,520 × 9,245,066,520
  4. Step 4: Simplify right side
    6,469,487,712x = 85,471,254,959,224,913,920
  5. Step 5: Solve for x
    x = 85,471,254,959,224,913,920/6,469,487,712
  6. Step 6: Final answer
    x = 13,211,440,961.65

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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.