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Finding the Third Proportional to 24,734,467 and 32,525,713.50

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Solution

The third proportional to 24,734,467 and 32,525,713.50 is: 42,771,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734,467 : 32,525,713.50 = 32,525,713.50 : x
  2. Step 2: Convert to fraction form
    24,734,467/32,525,713.50 = 32,525,713.50/x
  3. Step 3: Cross multiply
    24,734,467x = 32,525,713.50 × 32,525,713.50
  4. Step 4: Simplify right side
    24,734,467x = 1,057,922,038,684,082.25
  5. Step 5: Solve for x
    x = 1,057,922,038,684,082.25/24,734,467
  6. Step 6: Final answer
    x = 42,771,167.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.