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Finding the Third Proportional to 344,795,322 and 766,118,148

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Solution

The third proportional to 344,795,322 and 766,118,148 is: 1,702,276,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,322 : 766,118,148 = 766,118,148 : x
  2. Step 2: Convert to fraction form
    344,795,322/766,118,148 = 766,118,148/x
  3. Step 3: Cross multiply
    344,795,322x = 766,118,148 × 766,118,148
  4. Step 4: Simplify right side
    344,795,322x = 586,937,016,694,949,888
  5. Step 5: Solve for x
    x = 586,937,016,694,949,888/344,795,322
  6. Step 6: Final answer
    x = 1,702,276,623.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.