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Finding the Third Proportional to 1,951,620,323 and 2,973,167,623

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Solution

The third proportional to 1,951,620,323 and 2,973,167,623 is: 4,529,429,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951,620,323 : 2,973,167,623 = 2,973,167,623 : x
  2. Step 2: Convert to fraction form
    1,951,620,323/2,973,167,623 = 2,973,167,623/x
  3. Step 3: Cross multiply
    1,951,620,323x = 2,973,167,623 × 2,973,167,623
  4. Step 4: Simplify right side
    1,951,620,323x = 8,839,725,714,455,470,080
  5. Step 5: Solve for x
    x = 8,839,725,714,455,470,080/1,951,620,323
  6. Step 6: Final answer
    x = 4,529,429,013.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.