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Finding the Third Proportional to 1,199,021,010 and 1,798,531,394

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Solution

The third proportional to 1,199,021,010 and 1,798,531,394 is: 2,697,796,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,021,010 : 1,798,531,394 = 1,798,531,394 : x
  2. Step 2: Convert to fraction form
    1,199,021,010/1,798,531,394 = 1,798,531,394/x
  3. Step 3: Cross multiply
    1,199,021,010x = 1,798,531,394 × 1,798,531,394
  4. Step 4: Simplify right side
    1,199,021,010x = 3,234,715,175,203,583,488
  5. Step 5: Solve for x
    x = 3,234,715,175,203,583,488/1,199,021,010
  6. Step 6: Final answer
    x = 2,697,796,909.50

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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.