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Finding the Third Proportional to 3,736,994,454 and 5,255,832,663

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Solution

The third proportional to 3,736,994,454 and 5,255,832,663 is: 7,391,976,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736,994,454 : 5,255,832,663 = 5,255,832,663 : x
  2. Step 2: Convert to fraction form
    3,736,994,454/5,255,832,663 = 5,255,832,663/x
  3. Step 3: Cross multiply
    3,736,994,454x = 5,255,832,663 × 5,255,832,663
  4. Step 4: Simplify right side
    3,736,994,454x = 27,623,776,981,457,670,144
  5. Step 5: Solve for x
    x = 27,623,776,981,457,670,144/3,736,994,454
  6. Step 6: Final answer
    x = 7,391,976,980.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.