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Finding the Third Proportional to 850,556,269.13 and 1,334,270,603.25

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Solution

The third proportional to 850,556,269.13 and 1,334,270,603.25 is: 2,093,074,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,556,269.13 : 1,334,270,603.25 = 1,334,270,603.25 : x
  2. Step 2: Convert to fraction form
    850,556,269.13/1,334,270,603.25 = 1,334,270,603.25/x
  3. Step 3: Cross multiply
    850,556,269.13x = 1,334,270,603.25 × 1,334,270,603.25
  4. Step 4: Simplify right side
    850,556,269.13x = 1,780,278,042,697,118,976
  5. Step 5: Solve for x
    x = 1,780,278,042,697,118,976/850,556,269.13
  6. Step 6: Final answer
    x = 2,093,074,976.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.