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Finding the Third Proportional to 1,199,021,004 and 1,798,531,384.50

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Solution

The third proportional to 1,199,021,004 and 1,798,531,384.50 is: 2,697,796,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,021,004 : 1,798,531,384.50 = 1,798,531,384.50 : x
  2. Step 2: Convert to fraction form
    1,199,021,004/1,798,531,384.50 = 1,798,531,384.50/x
  3. Step 3: Cross multiply
    1,199,021,004x = 1,798,531,384.50 × 1,798,531,384.50
  4. Step 4: Simplify right side
    1,199,021,004x = 3,234,715,141,031,486,976
  5. Step 5: Solve for x
    x = 3,234,715,141,031,486,976/1,199,021,004
  6. Step 6: Final answer
    x = 2,697,796,894.50

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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.