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Finding the Third Proportional to 9,830,813.75 and 15,263,810.75

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Solution

The third proportional to 9,830,813.75 and 15,263,810.75 is: 23,699,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,813.75 : 15,263,810.75 = 15,263,810.75 : x
  2. Step 2: Convert to fraction form
    9,830,813.75/15,263,810.75 = 15,263,810.75/x
  3. Step 3: Cross multiply
    9,830,813.75x = 15,263,810.75 × 15,263,810.75
  4. Step 4: Simplify right side
    9,830,813.75x = 232,983,918,611,815.56
  5. Step 5: Solve for x
    x = 232,983,918,611,815.56/9,830,813.75
  6. Step 6: Final answer
    x = 23,699,352.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.