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Finding the Third Proportional to 14,157,419 and 21,862,011

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Solution

The third proportional to 14,157,419 and 21,862,011 is: 33,759,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157,419 : 21,862,011 = 21,862,011 : x
  2. Step 2: Convert to fraction form
    14,157,419/21,862,011 = 21,862,011/x
  3. Step 3: Cross multiply
    14,157,419x = 21,862,011 × 21,862,011
  4. Step 4: Simplify right side
    14,157,419x = 477,947,524,964,121
  5. Step 5: Solve for x
    x = 477,947,524,964,121/14,157,419
  6. Step 6: Final answer
    x = 33,759,509.76

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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.