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Finding the Third Proportional to 47,873,996 and 75,818,945

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Solution

The third proportional to 47,873,996 and 75,818,945 is: 120,075,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873,996 : 75,818,945 = 75,818,945 : x
  2. Step 2: Convert to fraction form
    47,873,996/75,818,945 = 75,818,945/x
  3. Step 3: Cross multiply
    47,873,996x = 75,818,945 × 75,818,945
  4. Step 4: Simplify right side
    47,873,996x = 5,748,512,420,913,025
  5. Step 5: Solve for x
    x = 5,748,512,420,913,025/47,873,996
  6. Step 6: Final answer
    x = 120,075,884.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.