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Finding the Third Proportional to 6,153,627 and 13,465,446

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Solution

The third proportional to 6,153,627 and 13,465,446 is: 29,465,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153,627 : 13,465,446 = 13,465,446 : x
  2. Step 2: Convert to fraction form
    6,153,627/13,465,446 = 13,465,446/x
  3. Step 3: Cross multiply
    6,153,627x = 13,465,446 × 13,465,446
  4. Step 4: Simplify right side
    6,153,627x = 181,318,235,978,916
  5. Step 5: Solve for x
    x = 181,318,235,978,916/6,153,627
  6. Step 6: Final answer
    x = 29,465,262.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.