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Finding the Third Proportional to 7,962,507 and 16,967,969

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Solution

The third proportional to 7,962,507 and 16,967,969 is: 36,158,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962,507 : 16,967,969 = 16,967,969 : x
  2. Step 2: Convert to fraction form
    7,962,507/16,967,969 = 16,967,969/x
  3. Step 3: Cross multiply
    7,962,507x = 16,967,969 × 16,967,969
  4. Step 4: Simplify right side
    7,962,507x = 287,911,971,984,961
  5. Step 5: Solve for x
    x = 287,911,971,984,961/7,962,507
  6. Step 6: Final answer
    x = 36,158,457.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.