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Finding the Third Proportional to 664,116,849.75 and 1,453,338,756.75

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Solution

The third proportional to 664,116,849.75 and 1,453,338,756.75 is: 3,180,454,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,116,849.75 : 1,453,338,756.75 = 1,453,338,756.75 : x
  2. Step 2: Convert to fraction form
    664,116,849.75/1,453,338,756.75 = 1,453,338,756.75/x
  3. Step 3: Cross multiply
    664,116,849.75x = 1,453,338,756.75 × 1,453,338,756.75
  4. Step 4: Simplify right side
    664,116,849.75x = 2,112,193,541,871,635,712
  5. Step 5: Solve for x
    x = 2,112,193,541,871,635,712/664,116,849.75
  6. Step 6: Final answer
    x = 3,180,454,678.52

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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.