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Finding the Third Proportional to 11,831,712 and 18,174,963

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Solution

The third proportional to 11,831,712 and 18,174,963 is: 27,918,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831,712 : 18,174,963 = 18,174,963 : x
  2. Step 2: Convert to fraction form
    11,831,712/18,174,963 = 18,174,963/x
  3. Step 3: Cross multiply
    11,831,712x = 18,174,963 × 18,174,963
  4. Step 4: Simplify right side
    11,831,712x = 330,329,280,051,369
  5. Step 5: Solve for x
    x = 330,329,280,051,369/11,831,712
  6. Step 6: Final answer
    x = 27,918,975.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.