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Finding the Third Proportional to 4,169,188,311 and 6,351,474,223.50

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Solution

The third proportional to 4,169,188,311 and 6,351,474,223.50 is: 9,676,038,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,188,311 : 6,351,474,223.50 = 6,351,474,223.50 : x
  2. Step 2: Convert to fraction form
    4,169,188,311/6,351,474,223.50 = 6,351,474,223.50/x
  3. Step 3: Cross multiply
    4,169,188,311x = 6,351,474,223.50 × 6,351,474,223.50
  4. Step 4: Simplify right side
    4,169,188,311x = 40,341,224,811,784,929,280
  5. Step 5: Solve for x
    x = 40,341,224,811,784,929,280/4,169,188,311
  6. Step 6: Final answer
    x = 9,676,038,068.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.