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Finding the Third Proportional to 807,739,290 and 1,768,706,383.78

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Solution

The third proportional to 807,739,290 and 1,768,706,383.78 is: 3,872,935,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,739,290 : 1,768,706,383.78 = 1,768,706,383.78 : x
  2. Step 2: Convert to fraction form
    807,739,290/1,768,706,383.78 = 1,768,706,383.78/x
  3. Step 3: Cross multiply
    807,739,290x = 1,768,706,383.78 × 1,768,706,383.78
  4. Step 4: Simplify right side
    807,739,290x = 3,128,322,272,028,369,408
  5. Step 5: Solve for x
    x = 3,128,322,272,028,369,408/807,739,290
  6. Step 6: Final answer
    x = 3,872,935,625.09

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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.