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Finding the Third Proportional to 1,301,865,102 and 1,964,904,276

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Solution

The third proportional to 1,301,865,102 and 1,964,904,276 is: 2,965,628,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,865,102 : 1,964,904,276 = 1,964,904,276 : x
  2. Step 2: Convert to fraction form
    1,301,865,102/1,964,904,276 = 1,964,904,276/x
  3. Step 3: Cross multiply
    1,301,865,102x = 1,964,904,276 × 1,964,904,276
  4. Step 4: Simplify right side
    1,301,865,102x = 3,860,848,813,843,084,288
  5. Step 5: Solve for x
    x = 3,860,848,813,843,084,288/1,301,865,102
  6. Step 6: Final answer
    x = 2,965,628,933.38

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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.