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Finding the Third Proportional to 11,430,393 and 17,413,563

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Solution

The third proportional to 11,430,393 and 17,413,563 is: 26,528,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430,393 : 17,413,563 = 17,413,563 : x
  2. Step 2: Convert to fraction form
    11,430,393/17,413,563 = 17,413,563/x
  3. Step 3: Cross multiply
    11,430,393x = 17,413,563 × 17,413,563
  4. Step 4: Simplify right side
    11,430,393x = 303,232,176,354,969
  5. Step 5: Solve for x
    x = 303,232,176,354,969/11,430,393
  6. Step 6: Final answer
    x = 26,528,587.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.