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Finding the Third Proportional to 2,852,885,489 and 6,212,242,460

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Solution

The third proportional to 2,852,885,489 and 6,212,242,460 is: 13,527,341,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,885,489 : 6,212,242,460 = 6,212,242,460 : x
  2. Step 2: Convert to fraction form
    2,852,885,489/6,212,242,460 = 6,212,242,460/x
  3. Step 3: Cross multiply
    2,852,885,489x = 6,212,242,460 × 6,212,242,460
  4. Step 4: Simplify right side
    2,852,885,489x = 38,591,956,381,826,850,816
  5. Step 5: Solve for x
    x = 38,591,956,381,826,850,816/2,852,885,489
  6. Step 6: Final answer
    x = 13,527,341,539.16

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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.