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Finding the Third Proportional to 1,301,865,135 and 1,964,904,318

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Solution

The third proportional to 1,301,865,135 and 1,964,904,318 is: 2,965,628,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,865,135 : 1,964,904,318 = 1,964,904,318 : x
  2. Step 2: Convert to fraction form
    1,301,865,135/1,964,904,318 = 1,964,904,318/x
  3. Step 3: Cross multiply
    1,301,865,135x = 1,964,904,318 × 1,964,904,318
  4. Step 4: Simplify right side
    1,301,865,135x = 3,860,848,978,895,045,120
  5. Step 5: Solve for x
    x = 3,860,848,978,895,045,120/1,301,865,135
  6. Step 6: Final answer
    x = 2,965,628,984.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.