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Finding the Third Proportional to 6,232,210 and 9,323,413

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Solution

The third proportional to 6,232,210 and 9,323,413 is: 13,947,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232,210 : 9,323,413 = 9,323,413 : x
  2. Step 2: Convert to fraction form
    6,232,210/9,323,413 = 9,323,413/x
  3. Step 3: Cross multiply
    6,232,210x = 9,323,413 × 9,323,413
  4. Step 4: Simplify right side
    6,232,210x = 86,926,029,968,569
  5. Step 5: Solve for x
    x = 86,926,029,968,569/6,232,210
  6. Step 6: Final answer
    x = 13,947,866.00

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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.