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Finding the Third Proportional to 14,157,429 and 21,862,026

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Solution

The third proportional to 14,157,429 and 21,862,026 is: 33,759,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157,429 : 21,862,026 = 21,862,026 : x
  2. Step 2: Convert to fraction form
    14,157,429/21,862,026 = 21,862,026/x
  3. Step 3: Cross multiply
    14,157,429x = 21,862,026 × 21,862,026
  4. Step 4: Simplify right side
    14,157,429x = 477,948,180,824,676
  5. Step 5: Solve for x
    x = 477,948,180,824,676/14,157,429
  6. Step 6: Final answer
    x = 33,759,532.24

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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.