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Finding the Third Proportional to 9,287,329 and 14,071,213.50

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Solution

The third proportional to 9,287,329 and 14,071,213.50 is: 21,319,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,329 : 14,071,213.50 = 14,071,213.50 : x
  2. Step 2: Convert to fraction form
    9,287,329/14,071,213.50 = 14,071,213.50/x
  3. Step 3: Cross multiply
    9,287,329x = 14,071,213.50 × 14,071,213.50
  4. Step 4: Simplify right side
    9,287,329x = 197,999,049,362,582.25
  5. Step 5: Solve for x
    x = 197,999,049,362,582.25/9,287,329
  6. Step 6: Final answer
    x = 21,319,267.29

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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.