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Finding the Third Proportional to 807,739,342 and 1,768,706,491

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Solution

The third proportional to 807,739,342 and 1,768,706,491 is: 3,872,935,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,739,342 : 1,768,706,491 = 1,768,706,491 : x
  2. Step 2: Convert to fraction form
    807,739,342/1,768,706,491 = 1,768,706,491/x
  3. Step 3: Cross multiply
    807,739,342x = 1,768,706,491 × 1,768,706,491
  4. Step 4: Simplify right side
    807,739,342x = 3,128,322,651,305,532,928
  5. Step 5: Solve for x
    x = 3,128,322,651,305,532,928/807,739,342
  6. Step 6: Final answer
    x = 3,872,935,845.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.