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Finding the Third Proportional to 664,116,848.86 and 1,453,338,754.59

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Solution

The third proportional to 664,116,848.86 and 1,453,338,754.59 is: 3,180,454,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,116,848.86 : 1,453,338,754.59 = 1,453,338,754.59 : x
  2. Step 2: Convert to fraction form
    664,116,848.86/1,453,338,754.59 = 1,453,338,754.59/x
  3. Step 3: Cross multiply
    664,116,848.86x = 1,453,338,754.59 × 1,453,338,754.59
  4. Step 4: Simplify right side
    664,116,848.86x = 2,112,193,535,604,257,792
  5. Step 5: Solve for x
    x = 2,112,193,535,604,257,792/664,116,848.86
  6. Step 6: Final answer
    x = 3,180,454,673.35

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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.