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Finding the Third Proportional to 3,306,031.14 and 5,106,437.60

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Solution

The third proportional to 3,306,031.14 and 5,106,437.60 is: 7,887,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,031.14 : 5,106,437.60 = 5,106,437.60 : x
  2. Step 2: Convert to fraction form
    3,306,031.14/5,106,437.60 = 5,106,437.60/x
  3. Step 3: Cross multiply
    3,306,031.14x = 5,106,437.60 × 5,106,437.60
  4. Step 4: Simplify right side
    3,306,031.14x = 26,075,704,918,811.08
  5. Step 5: Solve for x
    x = 26,075,704,918,811.08/3,306,031.14
  6. Step 6: Final answer
    x = 7,887,313.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.