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Finding the Third Proportional to 807,739,950.66 and 1,768,707,750.66

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Solution

The third proportional to 807,739,950.66 and 1,768,707,750.66 is: 3,872,938,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,739,950.66 : 1,768,707,750.66 = 1,768,707,750.66 : x
  2. Step 2: Convert to fraction form
    807,739,950.66/1,768,707,750.66 = 1,768,707,750.66/x
  3. Step 3: Cross multiply
    807,739,950.66x = 1,768,707,750.66 × 1,768,707,750.66
  4. Step 4: Simplify right side
    807,739,950.66x = 3,128,327,107,231,314,432
  5. Step 5: Solve for x
    x = 3,128,327,107,231,314,432/807,739,950.66
  6. Step 6: Final answer
    x = 3,872,938,443.48

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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.