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Finding the Third Proportional to 6,721,344 and 14,749,056

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Solution

The third proportional to 6,721,344 and 14,749,056 is: 32,364,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721,344 : 14,749,056 = 14,749,056 : x
  2. Step 2: Convert to fraction form
    6,721,344/14,749,056 = 14,749,056/x
  3. Step 3: Cross multiply
    6,721,344x = 14,749,056 × 14,749,056
  4. Step 4: Simplify right side
    6,721,344x = 217,534,652,891,136
  5. Step 5: Solve for x
    x = 217,534,652,891,136/6,721,344
  6. Step 6: Final answer
    x = 32,364,755.16

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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.