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Finding the Third Proportional to 12,314,551,644 and 26,886,365,811.75

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Solution

The third proportional to 12,314,551,644 and 26,886,365,811.75 is: 58,701,013,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314,551,644 : 26,886,365,811.75 = 26,886,365,811.75 : x
  2. Step 2: Convert to fraction form
    12,314,551,644/26,886,365,811.75 = 26,886,365,811.75/x
  3. Step 3: Cross multiply
    12,314,551,644x = 26,886,365,811.75 × 26,886,365,811.75
  4. Step 4: Simplify right side
    12,314,551,644x = 722,876,666,563,239,215,104
  5. Step 5: Solve for x
    x = 722,876,666,563,239,215,104/12,314,551,644
  6. Step 6: Final answer
    x = 58,701,013,846.12

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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.