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Finding the Third Proportional to 5,768,913 and 12,310,106

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Solution

The third proportional to 5,768,913 and 12,310,106 is: 26,268,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768,913 : 12,310,106 = 12,310,106 : x
  2. Step 2: Convert to fraction form
    5,768,913/12,310,106 = 12,310,106/x
  3. Step 3: Cross multiply
    5,768,913x = 12,310,106 × 12,310,106
  4. Step 4: Simplify right side
    5,768,913x = 151,538,709,731,236
  5. Step 5: Solve for x
    x = 151,538,709,731,236/5,768,913
  6. Step 6: Final answer
    x = 26,268,156.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.