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Finding the Third Proportional to 4,176,290.25 and 9,159,583.50

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Solution

The third proportional to 4,176,290.25 and 9,159,583.50 is: 20,089,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,290.25 : 9,159,583.50 = 9,159,583.50 : x
  2. Step 2: Convert to fraction form
    4,176,290.25/9,159,583.50 = 9,159,583.50/x
  3. Step 3: Cross multiply
    4,176,290.25x = 9,159,583.50 × 9,159,583.50
  4. Step 4: Simplify right side
    4,176,290.25x = 83,897,969,893,472.25
  5. Step 5: Solve for x
    x = 83,897,969,893,472.25/4,176,290.25
  6. Step 6: Final answer
    x = 20,089,113.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.