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Finding the Third Proportional to 8,882,218,269 and 19,507,615,992

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Solution

The third proportional to 8,882,218,269 and 19,507,615,992 is: 42,843,698,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882,218,269 : 19,507,615,992 = 19,507,615,992 : x
  2. Step 2: Convert to fraction form
    8,882,218,269/19,507,615,992 = 19,507,615,992/x
  3. Step 3: Cross multiply
    8,882,218,269x = 19,507,615,992 × 19,507,615,992
  4. Step 4: Simplify right side
    8,882,218,269x = 380,547,081,691,334,115,328
  5. Step 5: Solve for x
    x = 380,547,081,691,334,115,328/8,882,218,269
  6. Step 6: Final answer
    x = 42,843,698,518.36

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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.