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Finding the Third Proportional to 7,676,577 and 16,416,036

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Solution

The third proportional to 7,676,577 and 16,416,036 is: 35,105,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,577 : 16,416,036 = 16,416,036 : x
  2. Step 2: Convert to fraction form
    7,676,577/16,416,036 = 16,416,036/x
  3. Step 3: Cross multiply
    7,676,577x = 16,416,036 × 16,416,036
  4. Step 4: Simplify right side
    7,676,577x = 269,486,237,953,296
  5. Step 5: Solve for x
    x = 269,486,237,953,296/7,676,577
  6. Step 6: Final answer
    x = 35,105,000.31

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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.