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Finding the Third Proportional to 7,767,457,347 and 16,747,332,747.75

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Solution

The third proportional to 7,767,457,347 and 16,747,332,747.75 is: 36,108,747,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767,457,347 : 16,747,332,747.75 = 16,747,332,747.75 : x
  2. Step 2: Convert to fraction form
    7,767,457,347/16,747,332,747.75 = 16,747,332,747.75/x
  3. Step 3: Cross multiply
    7,767,457,347x = 16,747,332,747.75 × 16,747,332,747.75
  4. Step 4: Simplify right side
    7,767,457,347x = 280,473,154,163,859,554,304
  5. Step 5: Solve for x
    x = 280,473,154,163,859,554,304/7,767,457,347
  6. Step 6: Final answer
    x = 36,108,747,255.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.