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Finding the Third Proportional to 1,573,589,754 and 3,431,962,548

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Solution

The third proportional to 1,573,589,754 and 3,431,962,548 is: 7,485,030,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,589,754 : 3,431,962,548 = 3,431,962,548 : x
  2. Step 2: Convert to fraction form
    1,573,589,754/3,431,962,548 = 3,431,962,548/x
  3. Step 3: Cross multiply
    1,573,589,754x = 3,431,962,548 × 3,431,962,548
  4. Step 4: Simplify right side
    1,573,589,754x = 11,778,366,930,874,652,672
  5. Step 5: Solve for x
    x = 11,778,366,930,874,652,672/1,573,589,754
  6. Step 6: Final answer
    x = 7,485,030,263.41

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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.