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Finding the Third Proportional to 75,246,569 and 165,290,447

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Solution

The third proportional to 75,246,569 and 165,290,447 is: 363,085,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246,569 : 165,290,447 = 165,290,447 : x
  2. Step 2: Convert to fraction form
    75,246,569/165,290,447 = 165,290,447/x
  3. Step 3: Cross multiply
    75,246,569x = 165,290,447 × 165,290,447
  4. Step 4: Simplify right side
    75,246,569x = 27,320,931,869,459,808
  5. Step 5: Solve for x
    x = 27,320,931,869,459,808/75,246,569
  6. Step 6: Final answer
    x = 363,085,416.82

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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.