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Finding the Third Proportional to 44,768,993 and 97,420,029

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Solution

The third proportional to 44,768,993 and 97,420,029 is: 211,991,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,768,993 : 97,420,029 = 97,420,029 : x
  2. Step 2: Convert to fraction form
    44,768,993/97,420,029 = 97,420,029/x
  3. Step 3: Cross multiply
    44,768,993x = 97,420,029 × 97,420,029
  4. Step 4: Simplify right side
    44,768,993x = 9,490,662,050,360,840
  5. Step 5: Solve for x
    x = 9,490,662,050,360,840/44,768,993
  6. Step 6: Final answer
    x = 211,991,858.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.