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Finding the Third Proportional to 6,562,564 and 14,274,056

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Solution

The third proportional to 6,562,564 and 14,274,056 is: 31,047,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562,564 : 14,274,056 = 14,274,056 : x
  2. Step 2: Convert to fraction form
    6,562,564/14,274,056 = 14,274,056/x
  3. Step 3: Cross multiply
    6,562,564x = 14,274,056 × 14,274,056
  4. Step 4: Simplify right side
    6,562,564x = 203,748,674,691,136
  5. Step 5: Solve for x
    x = 203,748,674,691,136/6,562,564
  6. Step 6: Final answer
    x = 31,047,114.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.