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Finding the Third Proportional to 10,077,696 and 15,303,168

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Solution

The third proportional to 10,077,696 and 15,303,168 is: 23,238,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077,696 : 15,303,168 = 15,303,168 : x
  2. Step 2: Convert to fraction form
    10,077,696/15,303,168 = 15,303,168/x
  3. Step 3: Cross multiply
    10,077,696x = 15,303,168 × 15,303,168
  4. Step 4: Simplify right side
    10,077,696x = 234,186,950,836,224
  5. Step 5: Solve for x
    x = 234,186,950,836,224/10,077,696
  6. Step 6: Final answer
    x = 23,238,144

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.