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Finding the Third Proportional to 14,461,578 and 19,830,015

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Solution

The third proportional to 14,461,578 and 19,830,015 is: 27,191,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461,578 : 19,830,015 = 19,830,015 : x
  2. Step 2: Convert to fraction form
    14,461,578/19,830,015 = 19,830,015/x
  3. Step 3: Cross multiply
    14,461,578x = 19,830,015 × 19,830,015
  4. Step 4: Simplify right side
    14,461,578x = 393,229,494,900,225
  5. Step 5: Solve for x
    x = 393,229,494,900,225/14,461,578
  6. Step 6: Final answer
    x = 27,191,326.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.