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Finding the Third Proportional to 4,489,923,421,773 and 9,217,870,763,994

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Solution

The third proportional to 4,489,923,421,773 and 9,217,870,763,994 is: 18,924,407,710,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,923,421,773 : 9,217,870,763,994 = 9,217,870,763,994 : x
  2. Step 2: Convert to fraction form
    4,489,923,421,773/9,217,870,763,994 = 9,217,870,763,994/x
  3. Step 3: Cross multiply
    4,489,923,421,773x = 9,217,870,763,994 × 9,217,870,763,994
  4. Step 4: Simplify right side
    4,489,923,421,773x = 84,969,141,421,695,335,137,280,000
  5. Step 5: Solve for x
    x = 84,969,141,421,695,335,137,280,000/4,489,923,421,773
  6. Step 6: Final answer
    x = 18,924,407,710,308.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.