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Finding the Third Proportional to 44,968,431,430 and 99,991,162,320

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Solution

The third proportional to 44,968,431,430 and 99,991,162,320 is: 222,338,921,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,968,431,430 : 99,991,162,320 = 99,991,162,320 : x
  2. Step 2: Convert to fraction form
    44,968,431,430/99,991,162,320 = 99,991,162,320/x
  3. Step 3: Cross multiply
    44,968,431,430x = 99,991,162,320 × 99,991,162,320
  4. Step 4: Simplify right side
    44,968,431,430x = 9,998,232,542,104,587,862,016
  5. Step 5: Solve for x
    x = 9,998,232,542,104,587,862,016/44,968,431,430
  6. Step 6: Final answer
    x = 222,338,921,420.20

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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.