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Finding the Third Proportional to 477,998,073.28 and 1,028,637,511.03

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Solution

The third proportional to 477,998,073.28 and 1,028,637,511.03 is: 2,213,597,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,998,073.28 : 1,028,637,511.03 = 1,028,637,511.03 : x
  2. Step 2: Convert to fraction form
    477,998,073.28/1,028,637,511.03 = 1,028,637,511.03/x
  3. Step 3: Cross multiply
    477,998,073.28x = 1,028,637,511.03 × 1,028,637,511.03
  4. Step 4: Simplify right side
    477,998,073.28x = 1,058,095,129,100,462,208
  5. Step 5: Solve for x
    x = 1,058,095,129,100,462,208/477,998,073.28
  6. Step 6: Final answer
    x = 2,213,597,058.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.