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Finding the Third Proportional to 2,357,392,696 and 3,928,751,043

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Solution

The third proportional to 2,357,392,696 and 3,928,751,043 is: 6,547,523,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,392,696 : 3,928,751,043 = 3,928,751,043 : x
  2. Step 2: Convert to fraction form
    2,357,392,696/3,928,751,043 = 3,928,751,043/x
  3. Step 3: Cross multiply
    2,357,392,696x = 3,928,751,043 × 3,928,751,043
  4. Step 4: Simplify right side
    2,357,392,696x = 15,435,084,757,873,588,224
  5. Step 5: Solve for x
    x = 15,435,084,757,873,588,224/2,357,392,696
  6. Step 6: Final answer
    x = 6,547,523,789.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.