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Finding the Third Proportional to 12,126,766,278 and 26,388,905,867

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Solution

The third proportional to 12,126,766,278 and 26,388,905,867 is: 57,424,571,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126,766,278 : 26,388,905,867 = 26,388,905,867 : x
  2. Step 2: Convert to fraction form
    12,126,766,278/26,388,905,867 = 26,388,905,867/x
  3. Step 3: Cross multiply
    12,126,766,278x = 26,388,905,867 × 26,388,905,867
  4. Step 4: Simplify right side
    12,126,766,278x = 696,374,352,857,386,975,232
  5. Step 5: Solve for x
    x = 696,374,352,857,386,975,232/12,126,766,278
  6. Step 6: Final answer
    x = 57,424,571,142.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.