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Finding the Third Proportional to 5,765,888.81 and 8,110,443.94

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Solution

The third proportional to 5,765,888.81 and 8,110,443.94 is: 11,408,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765,888.81 : 8,110,443.94 = 8,110,443.94 : x
  2. Step 2: Convert to fraction form
    5,765,888.81/8,110,443.94 = 8,110,443.94/x
  3. Step 3: Cross multiply
    5,765,888.81x = 8,110,443.94 × 8,110,443.94
  4. Step 4: Simplify right side
    5,765,888.81x = 65,779,300,863,330.50
  5. Step 5: Solve for x
    x = 65,779,300,863,330.50/5,765,888.81
  6. Step 6: Final answer
    x = 11,408,354.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.