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Finding the Third Proportional to 4,317,597.25 and 9,307,765.50

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Solution

The third proportional to 4,317,597.25 and 9,307,765.50 is: 20,065,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317,597.25 : 9,307,765.50 = 9,307,765.50 : x
  2. Step 2: Convert to fraction form
    4,317,597.25/9,307,765.50 = 9,307,765.50/x
  3. Step 3: Cross multiply
    4,317,597.25x = 9,307,765.50 × 9,307,765.50
  4. Step 4: Simplify right side
    4,317,597.25x = 86,634,498,602,990.25
  5. Step 5: Solve for x
    x = 86,634,498,602,990.25/4,317,597.25
  6. Step 6: Final answer
    x = 20,065,442.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.