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Finding the Third Proportional to 7,868,033,226 and 16,052,124,631.50

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Solution

The third proportional to 7,868,033,226 and 16,052,124,631.50 is: 32,749,061,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868,033,226 : 16,052,124,631.50 = 16,052,124,631.50 : x
  2. Step 2: Convert to fraction form
    7,868,033,226/16,052,124,631.50 = 16,052,124,631.50/x
  3. Step 3: Cross multiply
    7,868,033,226x = 16,052,124,631.50 × 16,052,124,631.50
  4. Step 4: Simplify right side
    7,868,033,226x = 257,670,705,185,209,024,512
  5. Step 5: Solve for x
    x = 257,670,705,185,209,024,512/7,868,033,226
  6. Step 6: Final answer
    x = 32,749,061,650.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.