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Finding the Third Proportional to 9,237,696 and 13,306,572

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Solution

The third proportional to 9,237,696 and 13,306,572 is: 19,167,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237,696 : 13,306,572 = 13,306,572 : x
  2. Step 2: Convert to fraction form
    9,237,696/13,306,572 = 13,306,572/x
  3. Step 3: Cross multiply
    9,237,696x = 13,306,572 × 13,306,572
  4. Step 4: Simplify right side
    9,237,696x = 177,064,858,391,184
  5. Step 5: Solve for x
    x = 177,064,858,391,184/9,237,696
  6. Step 6: Final answer
    x = 19,167,642.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.