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Finding the Third Proportional to 5,262,797.81 and 7,872,779.81

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Solution

The third proportional to 5,262,797.81 and 7,872,779.81 is: 11,777,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,797.81 : 7,872,779.81 = 7,872,779.81 : x
  2. Step 2: Convert to fraction form
    5,262,797.81/7,872,779.81 = 7,872,779.81/x
  3. Step 3: Cross multiply
    5,262,797.81x = 7,872,779.81 × 7,872,779.81
  4. Step 4: Simplify right side
    5,262,797.81x = 61,980,661,976,107.53
  5. Step 5: Solve for x
    x = 61,980,661,976,107.53/5,262,797.81
  6. Step 6: Final answer
    x = 11,777,131.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.