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Finding the Third Proportional to 3,775,868,216.44 and 5,923,222,966.13

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Solution

The third proportional to 3,775,868,216.44 and 5,923,222,966.13 is: 9,291,788,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,868,216.44 : 5,923,222,966.13 = 5,923,222,966.13 : x
  2. Step 2: Convert to fraction form
    3,775,868,216.44/5,923,222,966.13 = 5,923,222,966.13/x
  3. Step 3: Cross multiply
    3,775,868,216.44x = 5,923,222,966.13 × 5,923,222,966.13
  4. Step 4: Simplify right side
    3,775,868,216.44x = 35,084,570,306,430,644,224
  5. Step 5: Solve for x
    x = 35,084,570,306,430,644,224/3,775,868,216.44
  6. Step 6: Final answer
    x = 9,291,788,880.16

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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.