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Finding the Third Proportional to 6,721,365 and 14,749,098

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Solution

The third proportional to 6,721,365 and 14,749,098 is: 32,364,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721,365 : 14,749,098 = 14,749,098 : x
  2. Step 2: Convert to fraction form
    6,721,365/14,749,098 = 14,749,098/x
  3. Step 3: Cross multiply
    6,721,365x = 14,749,098 × 14,749,098
  4. Step 4: Simplify right side
    6,721,365x = 217,535,891,813,604
  5. Step 5: Solve for x
    x = 217,535,891,813,604/6,721,365
  6. Step 6: Final answer
    x = 32,364,838.36

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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.