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Finding the Third Proportional to 6,232,212 and 9,323,416

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Solution

The third proportional to 6,232,212 and 9,323,416 is: 13,947,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232,212 : 9,323,416 = 9,323,416 : x
  2. Step 2: Convert to fraction form
    6,232,212/9,323,416 = 9,323,416/x
  3. Step 3: Cross multiply
    6,232,212x = 9,323,416 × 9,323,416
  4. Step 4: Simplify right side
    6,232,212x = 86,926,085,909,056
  5. Step 5: Solve for x
    x = 86,926,085,909,056/6,232,212
  6. Step 6: Final answer
    x = 13,947,870.50

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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.