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Finding the Third Proportional to 6,575,968 and 14,409,056

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Solution

The third proportional to 6,575,968 and 14,409,056 is: 31,572,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575,968 : 14,409,056 = 14,409,056 : x
  2. Step 2: Convert to fraction form
    6,575,968/14,409,056 = 14,409,056/x
  3. Step 3: Cross multiply
    6,575,968x = 14,409,056 × 14,409,056
  4. Step 4: Simplify right side
    6,575,968x = 207,620,894,811,136
  5. Step 5: Solve for x
    x = 207,620,894,811,136/6,575,968
  6. Step 6: Final answer
    x = 31,572,674.14

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