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Finding the Third Proportional to 6,546,245,831 and 14,359,878,574

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Solution

The third proportional to 6,546,245,831 and 14,359,878,574 is: 31,499,903,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546,245,831 : 14,359,878,574 = 14,359,878,574 : x
  2. Step 2: Convert to fraction form
    6,546,245,831/14,359,878,574 = 14,359,878,574/x
  3. Step 3: Cross multiply
    6,546,245,831x = 14,359,878,574 × 14,359,878,574
  4. Step 4: Simplify right side
    6,546,245,831x = 206,206,112,660,024,262,656
  5. Step 5: Solve for x
    x = 206,206,112,660,024,262,656/6,546,245,831
  6. Step 6: Final answer
    x = 31,499,903,606.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.