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Finding the Third Proportional to 6,293,910 and 9,402,021

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Solution

The third proportional to 6,293,910 and 9,402,021 is: 14,045,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293,910 : 9,402,021 = 9,402,021 : x
  2. Step 2: Convert to fraction form
    6,293,910/9,402,021 = 9,402,021/x
  3. Step 3: Cross multiply
    6,293,910x = 9,402,021 × 9,402,021
  4. Step 4: Simplify right side
    6,293,910x = 88,397,998,884,441
  5. Step 5: Solve for x
    x = 88,397,998,884,441/6,293,910
  6. Step 6: Final answer
    x = 14,045,005.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.