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Finding the Third Proportional to 3,102,592,041 and 4,939,223,770.50

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Solution

The third proportional to 3,102,592,041 and 4,939,223,770.50 is: 7,863,080,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,592,041 : 4,939,223,770.50 = 4,939,223,770.50 : x
  2. Step 2: Convert to fraction form
    3,102,592,041/4,939,223,770.50 = 4,939,223,770.50/x
  3. Step 3: Cross multiply
    3,102,592,041x = 4,939,223,770.50 × 4,939,223,770.50
  4. Step 4: Simplify right side
    3,102,592,041x = 24,395,931,455,072,235,520
  5. Step 5: Solve for x
    x = 24,395,931,455,072,235,520/3,102,592,041
  6. Step 6: Final answer
    x = 7,863,080,654.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.