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Finding the Third Proportional to 9,225,940.50 and 14,662,863

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Solution

The third proportional to 9,225,940.50 and 14,662,863 is: 23,303,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225,940.50 : 14,662,863 = 14,662,863 : x
  2. Step 2: Convert to fraction form
    9,225,940.50/14,662,863 = 14,662,863/x
  3. Step 3: Cross multiply
    9,225,940.50x = 14,662,863 × 14,662,863
  4. Step 4: Simplify right side
    9,225,940.50x = 214,999,551,356,769
  5. Step 5: Solve for x
    x = 214,999,551,356,769/9,225,940.50
  6. Step 6: Final answer
    x = 23,303,808.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.