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Finding the Third Proportional to 11,430,938 and 15,746,727

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Solution

The third proportional to 11,430,938 and 15,746,727 is: 21,691,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430,938 : 15,746,727 = 15,746,727 : x
  2. Step 2: Convert to fraction form
    11,430,938/15,746,727 = 15,746,727/x
  3. Step 3: Cross multiply
    11,430,938x = 15,746,727 × 15,746,727
  4. Step 4: Simplify right side
    11,430,938x = 247,959,411,212,529
  5. Step 5: Solve for x
    x = 247,959,411,212,529/11,430,938
  6. Step 6: Final answer
    x = 21,691,956.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.