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Finding the Third Proportional to 7,182,929,247 and 16,782,563,787

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Solution

The third proportional to 7,182,929,247 and 16,782,563,787 is: 39,211,641,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,929,247 : 16,782,563,787 = 16,782,563,787 : x
  2. Step 2: Convert to fraction form
    7,182,929,247/16,782,563,787 = 16,782,563,787/x
  3. Step 3: Cross multiply
    7,182,929,247x = 16,782,563,787 × 16,782,563,787
  4. Step 4: Simplify right side
    7,182,929,247x = 281,654,447,264,723,795,968
  5. Step 5: Solve for x
    x = 281,654,447,264,723,795,968/7,182,929,247
  6. Step 6: Final answer
    x = 39,211,641,599.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.