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Finding the Third Proportional to 6,276,298 and 9,694,259

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Solution

The third proportional to 6,276,298 and 9,694,259 is: 14,973,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276,298 : 9,694,259 = 9,694,259 : x
  2. Step 2: Convert to fraction form
    6,276,298/9,694,259 = 9,694,259/x
  3. Step 3: Cross multiply
    6,276,298x = 9,694,259 × 9,694,259
  4. Step 4: Simplify right side
    6,276,298x = 93,978,657,559,081
  5. Step 5: Solve for x
    x = 93,978,657,559,081/6,276,298
  6. Step 6: Final answer
    x = 14,973,581.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.