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Finding the Third Proportional to 9,733,712 and 15,150,704

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Solution

The third proportional to 9,733,712 and 15,150,704 is: 23,582,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733,712 : 15,150,704 = 15,150,704 : x
  2. Step 2: Convert to fraction form
    9,733,712/15,150,704 = 15,150,704/x
  3. Step 3: Cross multiply
    9,733,712x = 15,150,704 × 15,150,704
  4. Step 4: Simplify right side
    9,733,712x = 229,543,831,695,616
  5. Step 5: Solve for x
    x = 229,543,831,695,616/9,733,712
  6. Step 6: Final answer
    x = 23,582,352.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.