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Finding the Third Proportional to 16,096,516 and 25,124,534

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Solution

The third proportional to 16,096,516 and 25,124,534 is: 39,216,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096,516 : 25,124,534 = 25,124,534 : x
  2. Step 2: Convert to fraction form
    16,096,516/25,124,534 = 25,124,534/x
  3. Step 3: Cross multiply
    16,096,516x = 25,124,534 × 25,124,534
  4. Step 4: Simplify right side
    16,096,516x = 631,242,208,717,156
  5. Step 5: Solve for x
    x = 631,242,208,717,156/16,096,516
  6. Step 6: Final answer
    x = 39,216,076.87

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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.