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Finding the Third Proportional to 3,215,221,270 and 6,895,652,980

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Solution

The third proportional to 3,215,221,270 and 6,895,652,980 is: 14,789,038,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,221,270 : 6,895,652,980 = 6,895,652,980 : x
  2. Step 2: Convert to fraction form
    3,215,221,270/6,895,652,980 = 6,895,652,980/x
  3. Step 3: Cross multiply
    3,215,221,270x = 6,895,652,980 × 6,895,652,980
  4. Step 4: Simplify right side
    3,215,221,270x = 47,550,030,020,582,883,328
  5. Step 5: Solve for x
    x = 47,550,030,020,582,883,328/3,215,221,270
  6. Step 6: Final answer
    x = 14,789,038,149.33

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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.