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Finding the Third Proportional to 2,492,490,422 and 3,946,794,798

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Solution

The third proportional to 2,492,490,422 and 3,946,794,798 is: 6,249,648,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,490,422 : 3,946,794,798 = 3,946,794,798 : x
  2. Step 2: Convert to fraction form
    2,492,490,422/3,946,794,798 = 3,946,794,798/x
  3. Step 3: Cross multiply
    2,492,490,422x = 3,946,794,798 × 3,946,794,798
  4. Step 4: Simplify right side
    2,492,490,422x = 15,577,189,177,519,861,760
  5. Step 5: Solve for x
    x = 15,577,189,177,519,861,760/2,492,490,422
  6. Step 6: Final answer
    x = 6,249,648,560.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.