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Finding the Third Proportional to 35,285,398 and 75,977,220

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Solution

The third proportional to 35,285,398 and 75,977,220 is: 163,595,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,398 : 75,977,220 = 75,977,220 : x
  2. Step 2: Convert to fraction form
    35,285,398/75,977,220 = 75,977,220/x
  3. Step 3: Cross multiply
    35,285,398x = 75,977,220 × 75,977,220
  4. Step 4: Simplify right side
    35,285,398x = 5,772,537,958,928,400
  5. Step 5: Solve for x
    x = 5,772,537,958,928,400/35,285,398
  6. Step 6: Final answer
    x = 163,595,659.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.