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Finding the Third Proportional to 9,572,706 and 14,365,728

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Solution

The third proportional to 9,572,706 and 14,365,728 is: 21,558,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572,706 : 14,365,728 = 14,365,728 : x
  2. Step 2: Convert to fraction form
    9,572,706/14,365,728 = 14,365,728/x
  3. Step 3: Cross multiply
    9,572,706x = 14,365,728 × 14,365,728
  4. Step 4: Simplify right side
    9,572,706x = 206,374,140,969,984
  5. Step 5: Solve for x
    x = 206,374,140,969,984/9,572,706
  6. Step 6: Final answer
    x = 21,558,600.15

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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.