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Finding the Third Proportional to 4,510,973.50 and 10,525,968.63

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Solution

The third proportional to 4,510,973.50 and 10,525,968.63 is: 24,561,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,973.50 : 10,525,968.63 = 10,525,968.63 : x
  2. Step 2: Convert to fraction form
    4,510,973.50/10,525,968.63 = 10,525,968.63/x
  3. Step 3: Cross multiply
    4,510,973.50x = 10,525,968.63 × 10,525,968.63
  4. Step 4: Simplify right side
    4,510,973.50x = 110,796,015,494,484.39
  5. Step 5: Solve for x
    x = 110,796,015,494,484.39/4,510,973.50
  6. Step 6: Final answer
    x = 24,561,442.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.