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Finding the Third Proportional to 14,881,461 and 32,043,474

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Solution

The third proportional to 14,881,461 and 32,043,474 is: 68,997,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881,461 : 32,043,474 = 32,043,474 : x
  2. Step 2: Convert to fraction form
    14,881,461/32,043,474 = 32,043,474/x
  3. Step 3: Cross multiply
    14,881,461x = 32,043,474 × 32,043,474
  4. Step 4: Simplify right side
    14,881,461x = 1,026,784,225,988,676
  5. Step 5: Solve for x
    x = 1,026,784,225,988,676/14,881,461
  6. Step 6: Final answer
    x = 68,997,541.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.