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Finding the Third Proportional to 468,475,083 and 1,028,872,783.13

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Solution

The third proportional to 468,475,083 and 1,028,872,783.13 is: 2,259,627,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,475,083 : 1,028,872,783.13 = 1,028,872,783.13 : x
  2. Step 2: Convert to fraction form
    468,475,083/1,028,872,783.13 = 1,028,872,783.13/x
  3. Step 3: Cross multiply
    468,475,083x = 1,028,872,783.13 × 1,028,872,783.13
  4. Step 4: Simplify right side
    468,475,083x = 1,058,579,203,855,383,296
  5. Step 5: Solve for x
    x = 1,058,579,203,855,383,296/468,475,083
  6. Step 6: Final answer
    x = 2,259,627,549.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.