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Finding the Third Proportional to 11,748,798 and 17,960,883

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Solution

The third proportional to 11,748,798 and 17,960,883 is: 27,457,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748,798 : 17,960,883 = 17,960,883 : x
  2. Step 2: Convert to fraction form
    11,748,798/17,960,883 = 17,960,883/x
  3. Step 3: Cross multiply
    11,748,798x = 17,960,883 × 17,960,883
  4. Step 4: Simplify right side
    11,748,798x = 322,593,318,139,689
  5. Step 5: Solve for x
    x = 322,593,318,139,689/11,748,798
  6. Step 6: Final answer
    x = 27,457,559.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.