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Finding the Third Proportional to 75,246,579 and 165,290,465

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Solution

The third proportional to 75,246,579 and 165,290,465 is: 363,085,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246,579 : 165,290,465 = 165,290,465 : x
  2. Step 2: Convert to fraction form
    75,246,579/165,290,465 = 165,290,465/x
  3. Step 3: Cross multiply
    75,246,579x = 165,290,465 × 165,290,465
  4. Step 4: Simplify right side
    75,246,579x = 27,320,937,819,916,224
  5. Step 5: Solve for x
    x = 27,320,937,819,916,224/75,246,579
  6. Step 6: Final answer
    x = 363,085,447.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.