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Finding the Third Proportional to 5,112,970 and 11,360,946

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Solution

The third proportional to 5,112,970 and 11,360,946 is: 25,243,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112,970 : 11,360,946 = 11,360,946 : x
  2. Step 2: Convert to fraction form
    5,112,970/11,360,946 = 11,360,946/x
  3. Step 3: Cross multiply
    5,112,970x = 11,360,946 × 11,360,946
  4. Step 4: Simplify right side
    5,112,970x = 129,071,094,014,916
  5. Step 5: Solve for x
    x = 129,071,094,014,916/5,112,970
  6. Step 6: Final answer
    x = 25,243,859.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.