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Finding the Third Proportional to 740,221,101 and 1,645,945,078.50

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Solution

The third proportional to 740,221,101 and 1,645,945,078.50 is: 3,659,899,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,221,101 : 1,645,945,078.50 = 1,645,945,078.50 : x
  2. Step 2: Convert to fraction form
    740,221,101/1,645,945,078.50 = 1,645,945,078.50/x
  3. Step 3: Cross multiply
    740,221,101x = 1,645,945,078.50 × 1,645,945,078.50
  4. Step 4: Simplify right side
    740,221,101x = 2,709,135,201,438,371,328
  5. Step 5: Solve for x
    x = 2,709,135,201,438,371,328/740,221,101
  6. Step 6: Final answer
    x = 3,659,899,991.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.