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Finding the Third Proportional to 9,748,230 and 15,086,736

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Solution

The third proportional to 9,748,230 and 15,086,736 is: 23,348,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,230 : 15,086,736 = 15,086,736 : x
  2. Step 2: Convert to fraction form
    9,748,230/15,086,736 = 15,086,736/x
  3. Step 3: Cross multiply
    9,748,230x = 15,086,736 × 15,086,736
  4. Step 4: Simplify right side
    9,748,230x = 227,609,603,133,696
  5. Step 5: Solve for x
    x = 227,609,603,133,696/9,748,230
  6. Step 6: Final answer
    x = 23,348,813.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.