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Finding the Third Proportional to 3,315,913,926 and 7,148,362,260

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Solution

The third proportional to 3,315,913,926 and 7,148,362,260 is: 15,410,256,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315,913,926 : 7,148,362,260 = 7,148,362,260 : x
  2. Step 2: Convert to fraction form
    3,315,913,926/7,148,362,260 = 7,148,362,260/x
  3. Step 3: Cross multiply
    3,315,913,926x = 7,148,362,260 × 7,148,362,260
  4. Step 4: Simplify right side
    3,315,913,926x = 51,099,083,000,192,311,296
  5. Step 5: Solve for x
    x = 51,099,083,000,192,311,296/3,315,913,926
  6. Step 6: Final answer
    x = 15,410,256,158.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.