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Finding the Third Proportional to 520,077,232 and 1,083,201,100

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Solution

The third proportional to 520,077,232 and 1,083,201,100 is: 2,256,058,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077,232 : 1,083,201,100 = 1,083,201,100 : x
  2. Step 2: Convert to fraction form
    520,077,232/1,083,201,100 = 1,083,201,100/x
  3. Step 3: Cross multiply
    520,077,232x = 1,083,201,100 × 1,083,201,100
  4. Step 4: Simplify right side
    520,077,232x = 1,173,324,623,041,210,112
  5. Step 5: Solve for x
    x = 1,173,324,623,041,210,112/520,077,232
  6. Step 6: Final answer
    x = 2,256,058,429.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.