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Finding the Third Proportional to 9,173,970 and 12,832,623

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Solution

The third proportional to 9,173,970 and 12,832,623 is: 17,950,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173,970 : 12,832,623 = 12,832,623 : x
  2. Step 2: Convert to fraction form
    9,173,970/12,832,623 = 12,832,623/x
  3. Step 3: Cross multiply
    9,173,970x = 12,832,623 × 12,832,623
  4. Step 4: Simplify right side
    9,173,970x = 164,676,213,060,129
  5. Step 5: Solve for x
    x = 164,676,213,060,129/9,173,970
  6. Step 6: Final answer
    x = 17,950,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.