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Finding the Third Proportional to 1,229,019,988.78 and 1,796,870,200.22

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Solution

The third proportional to 1,229,019,988.78 and 1,796,870,200.22 is: 2,627,087,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,019,988.78 : 1,796,870,200.22 = 1,796,870,200.22 : x
  2. Step 2: Convert to fraction form
    1,229,019,988.78/1,796,870,200.22 = 1,796,870,200.22/x
  3. Step 3: Cross multiply
    1,229,019,988.78x = 1,796,870,200.22 × 1,796,870,200.22
  4. Step 4: Simplify right side
    1,229,019,988.78x = 3,228,742,516,434,350,592
  5. Step 5: Solve for x
    x = 3,228,742,516,434,350,592/1,229,019,988.78
  6. Step 6: Final answer
    x = 2,627,087,066.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.