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Finding the Third Proportional to 2,075,978,083.50 and 4,546,285,308

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Solution

The third proportional to 2,075,978,083.50 and 4,546,285,308 is: 9,956,131,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,978,083.50 : 4,546,285,308 = 4,546,285,308 : x
  2. Step 2: Convert to fraction form
    2,075,978,083.50/4,546,285,308 = 4,546,285,308/x
  3. Step 3: Cross multiply
    2,075,978,083.50x = 4,546,285,308 × 4,546,285,308
  4. Step 4: Simplify right side
    2,075,978,083.50x = 20,668,710,101,736,656,896
  5. Step 5: Solve for x
    x = 20,668,710,101,736,656,896/2,075,978,083.50
  6. Step 6: Final answer
    x = 9,956,131,168.25

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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.