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Finding the Third Proportional to 4,914,833,031 and 10,831,465,562

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Solution

The third proportional to 4,914,833,031 and 10,831,465,562 is: 23,870,728,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914,833,031 : 10,831,465,562 = 10,831,465,562 : x
  2. Step 2: Convert to fraction form
    4,914,833,031/10,831,465,562 = 10,831,465,562/x
  3. Step 3: Cross multiply
    4,914,833,031x = 10,831,465,562 × 10,831,465,562
  4. Step 4: Simplify right side
    4,914,833,031x = 117,320,646,220,791,971,840
  5. Step 5: Solve for x
    x = 117,320,646,220,791,971,840/4,914,833,031
  6. Step 6: Final answer
    x = 23,870,728,767.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.