Home / 1,680,035,242-2,419,984,490

Finding the Third Proportional to 1,680,035,242 and 2,419,984,490

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Solution

The third proportional to 1,680,035,242 and 2,419,984,490 is: 3,485,834,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,035,242 : 2,419,984,490 = 2,419,984,490 : x
  2. Step 2: Convert to fraction form
    1,680,035,242/2,419,984,490 = 2,419,984,490/x
  3. Step 3: Cross multiply
    1,680,035,242x = 2,419,984,490 × 2,419,984,490
  4. Step 4: Simplify right side
    1,680,035,242x = 5,856,324,931,840,560,128
  5. Step 5: Solve for x
    x = 5,856,324,931,840,560,128/1,680,035,242
  6. Step 6: Final answer
    x = 3,485,834,573.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.