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Finding the Third Proportional to 6,883,831,376 and 10,407,702,648

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Solution

The third proportional to 6,883,831,376 and 10,407,702,648 is: 15,735,463,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883,831,376 : 10,407,702,648 = 10,407,702,648 : x
  2. Step 2: Convert to fraction form
    6,883,831,376/10,407,702,648 = 10,407,702,648/x
  3. Step 3: Cross multiply
    6,883,831,376x = 10,407,702,648 × 10,407,702,648
  4. Step 4: Simplify right side
    6,883,831,376x = 108,320,274,409,186,213,888
  5. Step 5: Solve for x
    x = 108,320,274,409,186,213,888/6,883,831,376
  6. Step 6: Final answer
    x = 15,735,463,071.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.