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Finding the Third Proportional to 9,287,024 and 14,070,992

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Solution

The third proportional to 9,287,024 and 14,070,992 is: 21,319,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,024 : 14,070,992 = 14,070,992 : x
  2. Step 2: Convert to fraction form
    9,287,024/14,070,992 = 14,070,992/x
  3. Step 3: Cross multiply
    9,287,024x = 14,070,992 × 14,070,992
  4. Step 4: Simplify right side
    9,287,024x = 197,992,815,864,064
  5. Step 5: Solve for x
    x = 197,992,815,864,064/9,287,024
  6. Step 6: Final answer
    x = 21,319,296.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.