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Finding the Third Proportional to 214,937,738 and 466,367,754

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Solution

The third proportional to 214,937,738 and 466,367,754 is: 1,011,915,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,738 : 466,367,754 = 466,367,754 : x
  2. Step 2: Convert to fraction form
    214,937,738/466,367,754 = 466,367,754/x
  3. Step 3: Cross multiply
    214,937,738x = 466,367,754 × 466,367,754
  4. Step 4: Simplify right side
    214,937,738x = 217,498,881,971,004,512
  5. Step 5: Solve for x
    x = 217,498,881,971,004,512/214,937,738
  6. Step 6: Final answer
    x = 1,011,915,748.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.