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Finding the Third Proportional to 7,907,536 and 17,354,720

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Solution

The third proportional to 7,907,536 and 17,354,720 is: 38,088,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,536 : 17,354,720 = 17,354,720 : x
  2. Step 2: Convert to fraction form
    7,907,536/17,354,720 = 17,354,720/x
  3. Step 3: Cross multiply
    7,907,536x = 17,354,720 × 17,354,720
  4. Step 4: Simplify right side
    7,907,536x = 301,186,306,278,400
  5. Step 5: Solve for x
    x = 301,186,306,278,400/7,907,536
  6. Step 6: Final answer
    x = 38,088,515.35

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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.