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Finding the Third Proportional to 10,230,072 and 22,055,664

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Solution

The third proportional to 10,230,072 and 22,055,664 is: 47,551,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230,072 : 22,055,664 = 22,055,664 : x
  2. Step 2: Convert to fraction form
    10,230,072/22,055,664 = 22,055,664/x
  3. Step 3: Cross multiply
    10,230,072x = 22,055,664 × 22,055,664
  4. Step 4: Simplify right side
    10,230,072x = 486,452,314,480,896
  5. Step 5: Solve for x
    x = 486,452,314,480,896/10,230,072
  6. Step 6: Final answer
    x = 47,551,211.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.