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Finding the Third Proportional to 75,259,570 and 159,562,412

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Solution

The third proportional to 75,259,570 and 159,562,412 is: 338,298,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259,570 : 159,562,412 = 159,562,412 : x
  2. Step 2: Convert to fraction form
    75,259,570/159,562,412 = 159,562,412/x
  3. Step 3: Cross multiply
    75,259,570x = 159,562,412 × 159,562,412
  4. Step 4: Simplify right side
    75,259,570x = 25,460,163,323,257,744
  5. Step 5: Solve for x
    x = 25,460,163,323,257,744/75,259,570
  6. Step 6: Final answer
    x = 338,298,017.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.