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Finding the Third Proportional to 1,129,110,834 and 2,445,844,944

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Solution

The third proportional to 1,129,110,834 and 2,445,844,944 is: 5,298,113,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,110,834 : 2,445,844,944 = 2,445,844,944 : x
  2. Step 2: Convert to fraction form
    1,129,110,834/2,445,844,944 = 2,445,844,944/x
  3. Step 3: Cross multiply
    1,129,110,834x = 2,445,844,944 × 2,445,844,944
  4. Step 4: Simplify right side
    1,129,110,834x = 5,982,157,490,090,362,880
  5. Step 5: Solve for x
    x = 5,982,157,490,090,362,880/1,129,110,834
  6. Step 6: Final answer
    x = 5,298,113,621.76

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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.