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Finding the Third Proportional to 6,576,064 and 14,409,248

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Solution

The third proportional to 6,576,064 and 14,409,248 is: 31,573,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,064 : 14,409,248 = 14,409,248 : x
  2. Step 2: Convert to fraction form
    6,576,064/14,409,248 = 14,409,248/x
  3. Step 3: Cross multiply
    6,576,064x = 14,409,248 × 14,409,248
  4. Step 4: Simplify right side
    6,576,064x = 207,626,427,925,504
  5. Step 5: Solve for x
    x = 207,626,427,925,504/6,576,064
  6. Step 6: Final answer
    x = 31,573,054.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.