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Finding the Third Proportional to 5,812,726 and 9,571,259.50

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Solution

The third proportional to 5,812,726 and 9,571,259.50 is: 15,760,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,726 : 9,571,259.50 = 9,571,259.50 : x
  2. Step 2: Convert to fraction form
    5,812,726/9,571,259.50 = 9,571,259.50/x
  3. Step 3: Cross multiply
    5,812,726x = 9,571,259.50 × 9,571,259.50
  4. Step 4: Simplify right side
    5,812,726x = 91,609,008,416,340.25
  5. Step 5: Solve for x
    x = 91,609,008,416,340.25/5,812,726
  6. Step 6: Final answer
    x = 15,760,076.84

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.