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Finding the Third Proportional to 1,199,020,090 and 1,798,530,134

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Solution

The third proportional to 1,199,020,090 and 1,798,530,134 is: 2,697,795,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,020,090 : 1,798,530,134 = 1,798,530,134 : x
  2. Step 2: Convert to fraction form
    1,199,020,090/1,798,530,134 = 1,798,530,134/x
  3. Step 3: Cross multiply
    1,199,020,090x = 1,798,530,134 × 1,798,530,134
  4. Step 4: Simplify right side
    1,199,020,090x = 3,234,710,642,906,057,728
  5. Step 5: Solve for x
    x = 3,234,710,642,906,057,728/1,199,020,090
  6. Step 6: Final answer
    x = 2,697,795,199.50

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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.