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Finding the Third Proportional to 725,415,028 and 1,573,991,505

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Solution

The third proportional to 725,415,028 and 1,573,991,505 is: 3,415,216,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,415,028 : 1,573,991,505 = 1,573,991,505 : x
  2. Step 2: Convert to fraction form
    725,415,028/1,573,991,505 = 1,573,991,505/x
  3. Step 3: Cross multiply
    725,415,028x = 1,573,991,505 × 1,573,991,505
  4. Step 4: Simplify right side
    725,415,028x = 2,477,449,257,812,165,120
  5. Step 5: Solve for x
    x = 2,477,449,257,812,165,120/725,415,028
  6. Step 6: Final answer
    x = 3,415,216,341.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.