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Finding the Third Proportional to 493,221,579 and 1,073,270,023

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Solution

The third proportional to 493,221,579 and 1,073,270,023 is: 2,335,478,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221,579 : 1,073,270,023 = 1,073,270,023 : x
  2. Step 2: Convert to fraction form
    493,221,579/1,073,270,023 = 1,073,270,023/x
  3. Step 3: Cross multiply
    493,221,579x = 1,073,270,023 × 1,073,270,023
  4. Step 4: Simplify right side
    493,221,579x = 1,151,908,542,270,420,480
  5. Step 5: Solve for x
    x = 1,151,908,542,270,420,480/493,221,579
  6. Step 6: Final answer
    x = 2,335,478,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.