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Finding the Third Proportional to 961,260,493.50 and 1,973,480,274

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Solution

The third proportional to 961,260,493.50 and 1,973,480,274 is: 4,051,580,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,493.50 : 1,973,480,274 = 1,973,480,274 : x
  2. Step 2: Convert to fraction form
    961,260,493.50/1,973,480,274 = 1,973,480,274/x
  3. Step 3: Cross multiply
    961,260,493.50x = 1,973,480,274 × 1,973,480,274
  4. Step 4: Simplify right side
    961,260,493.50x = 3,894,624,391,867,115,008
  5. Step 5: Solve for x
    x = 3,894,624,391,867,115,008/961,260,493.50
  6. Step 6: Final answer
    x = 4,051,580,625.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.