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Finding the Third Proportional to 8,525,024 and 18,263,008

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Solution

The third proportional to 8,525,024 and 18,263,008 is: 39,124,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525,024 : 18,263,008 = 18,263,008 : x
  2. Step 2: Convert to fraction form
    8,525,024/18,263,008 = 18,263,008/x
  3. Step 3: Cross multiply
    8,525,024x = 18,263,008 × 18,263,008
  4. Step 4: Simplify right side
    8,525,024x = 333,537,461,208,064
  5. Step 5: Solve for x
    x = 333,537,461,208,064/8,525,024
  6. Step 6: Final answer
    x = 39,124,518.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.