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Finding the Third Proportional to 673,709,266 and 1,466,050,381

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Solution

The third proportional to 673,709,266 and 1,466,050,381 is: 3,190,254,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,709,266 : 1,466,050,381 = 1,466,050,381 : x
  2. Step 2: Convert to fraction form
    673,709,266/1,466,050,381 = 1,466,050,381/x
  3. Step 3: Cross multiply
    673,709,266x = 1,466,050,381 × 1,466,050,381
  4. Step 4: Simplify right side
    673,709,266x = 2,149,303,719,630,245,120
  5. Step 5: Solve for x
    x = 2,149,303,719,630,245,120/673,709,266
  6. Step 6: Final answer
    x = 3,190,254,057.79

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Why These Related Problems?

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