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Finding the Third Proportional to 12,186,062,930 and 26,535,511,164

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Solution

The third proportional to 12,186,062,930 and 26,535,511,164 is: 57,781,857,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186,062,930 : 26,535,511,164 = 26,535,511,164 : x
  2. Step 2: Convert to fraction form
    12,186,062,930/26,535,511,164 = 26,535,511,164/x
  3. Step 3: Cross multiply
    12,186,062,930x = 26,535,511,164 × 26,535,511,164
  4. Step 4: Simplify right side
    12,186,062,930x = 704,133,352,734,768,627,712
  5. Step 5: Solve for x
    x = 704,133,352,734,768,627,712/12,186,062,930
  6. Step 6: Final answer
    x = 57,781,857,584.32

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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.