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Finding the Third Proportional to 14,138,280 and 21,758,544

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Solution

The third proportional to 14,138,280 and 21,758,544 is: 33,485,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138,280 : 21,758,544 = 21,758,544 : x
  2. Step 2: Convert to fraction form
    14,138,280/21,758,544 = 21,758,544/x
  3. Step 3: Cross multiply
    14,138,280x = 21,758,544 × 21,758,544
  4. Step 4: Simplify right side
    14,138,280x = 473,434,236,999,936
  5. Step 5: Solve for x
    x = 473,434,236,999,936/14,138,280
  6. Step 6: Final answer
    x = 33,485,985.35

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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.