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Finding the Third Proportional to 4,246,548,309 and 9,309,389,994

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Solution

The third proportional to 4,246,548,309 and 9,309,389,994 is: 20,408,278,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246,548,309 : 9,309,389,994 = 9,309,389,994 : x
  2. Step 2: Convert to fraction form
    4,246,548,309/9,309,389,994 = 9,309,389,994/x
  3. Step 3: Cross multiply
    4,246,548,309x = 9,309,389,994 × 9,309,389,994
  4. Step 4: Simplify right side
    4,246,548,309x = 86,664,742,060,387,319,808
  5. Step 5: Solve for x
    x = 86,664,742,060,387,319,808/4,246,548,309
  6. Step 6: Final answer
    x = 20,408,278,854.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.