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Finding the Third Proportional to 6,749,356,650 and 14,686,872,846

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Solution

The third proportional to 6,749,356,650 and 14,686,872,846 is: 31,959,228,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749,356,650 : 14,686,872,846 = 14,686,872,846 : x
  2. Step 2: Convert to fraction form
    6,749,356,650/14,686,872,846 = 14,686,872,846/x
  3. Step 3: Cross multiply
    6,749,356,650x = 14,686,872,846 × 14,686,872,846
  4. Step 4: Simplify right side
    6,749,356,650x = 215,704,233,994,572,136,448
  5. Step 5: Solve for x
    x = 215,704,233,994,572,136,448/6,749,356,650
  6. Step 6: Final answer
    x = 31,959,228,883.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.