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Finding the Third Proportional to 4,361,030,370 and 9,511,361,343

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Solution

The third proportional to 4,361,030,370 and 9,511,361,343 is: 20,744,178,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361,030,370 : 9,511,361,343 = 9,511,361,343 : x
  2. Step 2: Convert to fraction form
    4,361,030,370/9,511,361,343 = 9,511,361,343/x
  3. Step 3: Cross multiply
    4,361,030,370x = 9,511,361,343 × 9,511,361,343
  4. Step 4: Simplify right side
    4,361,030,370x = 90,465,994,597,114,757,120
  5. Step 5: Solve for x
    x = 90,465,994,597,114,757,120/4,361,030,370
  6. Step 6: Final answer
    x = 20,744,178,994.82

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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.