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Finding the Third Proportional to 16,847,640 and 24,075,713.25

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Solution

The third proportional to 16,847,640 and 24,075,713.25 is: 34,404,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847,640 : 24,075,713.25 = 24,075,713.25 : x
  2. Step 2: Convert to fraction form
    16,847,640/24,075,713.25 = 24,075,713.25/x
  3. Step 3: Cross multiply
    16,847,640x = 24,075,713.25 × 24,075,713.25
  4. Step 4: Simplify right side
    16,847,640x = 579,639,968,496,225.50
  5. Step 5: Solve for x
    x = 579,639,968,496,225.50/16,847,640
  6. Step 6: Final answer
    x = 34,404,816.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.