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Finding the Third Proportional to 14,070,454 and 21,022,851

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Solution

The third proportional to 14,070,454 and 21,022,851 is: 31,410,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070,454 : 21,022,851 = 21,022,851 : x
  2. Step 2: Convert to fraction form
    14,070,454/21,022,851 = 21,022,851/x
  3. Step 3: Cross multiply
    14,070,454x = 21,022,851 × 21,022,851
  4. Step 4: Simplify right side
    14,070,454x = 441,960,264,168,201
  5. Step 5: Solve for x
    x = 441,960,264,168,201/14,070,454
  6. Step 6: Final answer
    x = 31,410,519.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.