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Finding the Third Proportional to 353,503,811.25 and 768,196,226.25

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Solution

The third proportional to 353,503,811.25 and 768,196,226.25 is: 1,669,360,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,503,811.25 : 768,196,226.25 = 768,196,226.25 : x
  2. Step 2: Convert to fraction form
    353,503,811.25/768,196,226.25 = 768,196,226.25/x
  3. Step 3: Cross multiply
    353,503,811.25x = 768,196,226.25 × 768,196,226.25
  4. Step 4: Simplify right side
    353,503,811.25x = 590,125,442,024,741,248
  5. Step 5: Solve for x
    x = 590,125,442,024,741,248/353,503,811.25
  6. Step 6: Final answer
    x = 1,669,360,904.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.