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Finding the Third Proportional to 5,846,221,652 and 13,641,655,260

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Solution

The third proportional to 5,846,221,652 and 13,641,655,260 is: 31,831,628,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,221,652 : 13,641,655,260 = 13,641,655,260 : x
  2. Step 2: Convert to fraction form
    5,846,221,652/13,641,655,260 = 13,641,655,260/x
  3. Step 3: Cross multiply
    5,846,221,652x = 13,641,655,260 × 13,641,655,260
  4. Step 4: Simplify right side
    5,846,221,652x = 186,094,758,232,685,674,496
  5. Step 5: Solve for x
    x = 186,094,758,232,685,674,496/5,846,221,652
  6. Step 6: Final answer
    x = 31,831,628,923.79

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.