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Finding the Third Proportional to 6,770,751,840 and 10,457,984,304

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Solution

The third proportional to 6,770,751,840 and 10,457,984,304 is: 16,153,218,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770,751,840 : 10,457,984,304 = 10,457,984,304 : x
  2. Step 2: Convert to fraction form
    6,770,751,840/10,457,984,304 = 10,457,984,304/x
  3. Step 3: Cross multiply
    6,770,751,840x = 10,457,984,304 × 10,457,984,304
  4. Step 4: Simplify right side
    6,770,751,840x = 109,369,435,702,710,370,304
  5. Step 5: Solve for x
    x = 109,369,435,702,710,370,304/6,770,751,840
  6. Step 6: Final answer
    x = 16,153,218,769.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.