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Finding the Third Proportional to 6,343,926 and 9,043,497

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Solution

The third proportional to 6,343,926 and 9,043,497 is: 12,891,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,926 : 9,043,497 = 9,043,497 : x
  2. Step 2: Convert to fraction form
    6,343,926/9,043,497 = 9,043,497/x
  3. Step 3: Cross multiply
    6,343,926x = 9,043,497 × 9,043,497
  4. Step 4: Simplify right side
    6,343,926x = 81,784,837,989,009
  5. Step 5: Solve for x
    x = 81,784,837,989,009/6,343,926
  6. Step 6: Final answer
    x = 12,891,833.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.