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Finding the Third Proportional to 2,967,533,860.50 and 4,590,754,481.25

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Solution

The third proportional to 2,967,533,860.50 and 4,590,754,481.25 is: 7,101,865,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967,533,860.50 : 4,590,754,481.25 = 4,590,754,481.25 : x
  2. Step 2: Convert to fraction form
    2,967,533,860.50/4,590,754,481.25 = 4,590,754,481.25/x
  3. Step 3: Cross multiply
    2,967,533,860.50x = 4,590,754,481.25 × 4,590,754,481.25
  4. Step 4: Simplify right side
    2,967,533,860.50x = 21,075,026,707,116,957,696
  5. Step 5: Solve for x
    x = 21,075,026,707,116,957,696/2,967,533,860.50
  6. Step 6: Final answer
    x = 7,101,865,622.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.