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Finding the Third Proportional to 7,773,500 and 16,044,902

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Solution

The third proportional to 7,773,500 and 16,044,902 is: 33,117,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,500 : 16,044,902 = 16,044,902 : x
  2. Step 2: Convert to fraction form
    7,773,500/16,044,902 = 16,044,902/x
  3. Step 3: Cross multiply
    7,773,500x = 16,044,902 × 16,044,902
  4. Step 4: Simplify right side
    7,773,500x = 257,438,880,189,604
  5. Step 5: Solve for x
    x = 257,438,880,189,604/7,773,500
  6. Step 6: Final answer
    x = 33,117,499.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.