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Finding the Third Proportional to 3,215,224,584 and 6,895,660,032

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Solution

The third proportional to 3,215,224,584 and 6,895,660,032 is: 14,789,053,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,224,584 : 6,895,660,032 = 6,895,660,032 : x
  2. Step 2: Convert to fraction form
    3,215,224,584/6,895,660,032 = 6,895,660,032/x
  3. Step 3: Cross multiply
    3,215,224,584x = 6,895,660,032 × 6,895,660,032
  4. Step 4: Simplify right side
    3,215,224,584x = 47,550,127,276,922,241,024
  5. Step 5: Solve for x
    x = 47,550,127,276,922,241,024/3,215,224,584
  6. Step 6: Final answer
    x = 14,789,053,154.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.