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Finding the Third Proportional to 1,263,165,200 and 1,894,747,800

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Solution

The third proportional to 1,263,165,200 and 1,894,747,800 is: 2,842,121,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,165,200 : 1,894,747,800 = 1,894,747,800 : x
  2. Step 2: Convert to fraction form
    1,263,165,200/1,894,747,800 = 1,894,747,800/x
  3. Step 3: Cross multiply
    1,263,165,200x = 1,894,747,800 × 1,894,747,800
  4. Step 4: Simplify right side
    1,263,165,200x = 3,590,069,225,604,839,936
  5. Step 5: Solve for x
    x = 3,590,069,225,604,839,936/1,263,165,200
  6. Step 6: Final answer
    x = 2,842,121,700

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.