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Finding the Third Proportional to 10,772,578 and 23,038,148

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Solution

The third proportional to 10,772,578 and 23,038,148 is: 49,269,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,578 : 23,038,148 = 23,038,148 : x
  2. Step 2: Convert to fraction form
    10,772,578/23,038,148 = 23,038,148/x
  3. Step 3: Cross multiply
    10,772,578x = 23,038,148 × 23,038,148
  4. Step 4: Simplify right side
    10,772,578x = 530,756,263,269,904
  5. Step 5: Solve for x
    x = 530,756,263,269,904/10,772,578
  6. Step 6: Final answer
    x = 49,269,196.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.