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Finding the Third Proportional to 281,398,664 and 611,238,513

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Solution

The third proportional to 281,398,664 and 611,238,513 is: 1,327,698,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,398,664 : 611,238,513 = 611,238,513 : x
  2. Step 2: Convert to fraction form
    281,398,664/611,238,513 = 611,238,513/x
  3. Step 3: Cross multiply
    281,398,664x = 611,238,513 × 611,238,513
  4. Step 4: Simplify right side
    281,398,664x = 373,612,519,774,451,200
  5. Step 5: Solve for x
    x = 373,612,519,774,451,200/281,398,664
  6. Step 6: Final answer
    x = 1,327,698,271.43

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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.