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Finding the Third Proportional to 5,846,221,629 and 13,641,655,206

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Solution

The third proportional to 5,846,221,629 and 13,641,655,206 is: 31,831,628,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,221,629 : 13,641,655,206 = 13,641,655,206 : x
  2. Step 2: Convert to fraction form
    5,846,221,629/13,641,655,206 = 13,641,655,206/x
  3. Step 3: Cross multiply
    5,846,221,629x = 13,641,655,206 × 13,641,655,206
  4. Step 4: Simplify right side
    5,846,221,629x = 186,094,756,759,386,914,816
  5. Step 5: Solve for x
    x = 186,094,756,759,386,914,816/5,846,221,629
  6. Step 6: Final answer
    x = 31,831,628,797.01

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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.