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Finding the Third Proportional to 7,656,776 and 16,823,032

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Solution

The third proportional to 7,656,776 and 16,823,032 is: 36,962,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,776 : 16,823,032 = 16,823,032 : x
  2. Step 2: Convert to fraction form
    7,656,776/16,823,032 = 16,823,032/x
  3. Step 3: Cross multiply
    7,656,776x = 16,823,032 × 16,823,032
  4. Step 4: Simplify right side
    7,656,776x = 283,014,405,673,024
  5. Step 5: Solve for x
    x = 283,014,405,673,024/7,656,776
  6. Step 6: Final answer
    x = 36,962,607.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.