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Finding the Third Proportional to 13,223,466 and 20,433,627

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Solution

The third proportional to 13,223,466 and 20,433,627 is: 31,575,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,466 : 20,433,627 = 20,433,627 : x
  2. Step 2: Convert to fraction form
    13,223,466/20,433,627 = 20,433,627/x
  3. Step 3: Cross multiply
    13,223,466x = 20,433,627 × 20,433,627
  4. Step 4: Simplify right side
    13,223,466x = 417,533,112,375,129
  5. Step 5: Solve for x
    x = 417,533,112,375,129/13,223,466
  6. Step 6: Final answer
    x = 31,575,164.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.