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Finding the Third Proportional to 1,102,978,944 and 2,389,775,184

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Solution

The third proportional to 1,102,978,944 and 2,389,775,184 is: 5,177,819,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,978,944 : 2,389,775,184 = 2,389,775,184 : x
  2. Step 2: Convert to fraction form
    1,102,978,944/2,389,775,184 = 2,389,775,184/x
  3. Step 3: Cross multiply
    1,102,978,944x = 2,389,775,184 × 2,389,775,184
  4. Step 4: Simplify right side
    1,102,978,944x = 5,711,025,430,062,233,600
  5. Step 5: Solve for x
    x = 5,711,025,430,062,233,600/1,102,978,944
  6. Step 6: Final answer
    x = 5,177,819,088.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.