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Finding the Third Proportional to 7,478,931.75 and 16,075,112.25

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Solution

The third proportional to 7,478,931.75 and 16,075,112.25 is: 34,551,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,931.75 : 16,075,112.25 = 16,075,112.25 : x
  2. Step 2: Convert to fraction form
    7,478,931.75/16,075,112.25 = 16,075,112.25/x
  3. Step 3: Cross multiply
    7,478,931.75x = 16,075,112.25 × 16,075,112.25
  4. Step 4: Simplify right side
    7,478,931.75x = 258,409,233,850,100.06
  5. Step 5: Solve for x
    x = 258,409,233,850,100.06/7,478,931.75
  6. Step 6: Final answer
    x = 34,551,623.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.