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Finding the Third Proportional to 4,209,364 and 9,075,765

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Solution

The third proportional to 4,209,364 and 9,075,765 is: 19,568,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,364 : 9,075,765 = 9,075,765 : x
  2. Step 2: Convert to fraction form
    4,209,364/9,075,765 = 9,075,765/x
  3. Step 3: Cross multiply
    4,209,364x = 9,075,765 × 9,075,765
  4. Step 4: Simplify right side
    4,209,364x = 82,369,510,335,225
  5. Step 5: Solve for x
    x = 82,369,510,335,225/4,209,364
  6. Step 6: Final answer
    x = 19,568,160.50

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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.