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Finding the Third Proportional to 174,452,616 and 380,592,648

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Solution

The third proportional to 174,452,616 and 380,592,648 is: 830,315,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,452,616 : 380,592,648 = 380,592,648 : x
  2. Step 2: Convert to fraction form
    174,452,616/380,592,648 = 380,592,648/x
  3. Step 3: Cross multiply
    174,452,616x = 380,592,648 × 380,592,648
  4. Step 4: Simplify right side
    174,452,616x = 144,850,763,711,651,904
  5. Step 5: Solve for x
    x = 144,850,763,711,651,904/174,452,616
  6. Step 6: Final answer
    x = 830,315,801.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.