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Finding the Third Proportional to 7,719,546 and 11,354,780

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Solution

The third proportional to 7,719,546 and 11,354,780 is: 16,701,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,546 : 11,354,780 = 11,354,780 : x
  2. Step 2: Convert to fraction form
    7,719,546/11,354,780 = 11,354,780/x
  3. Step 3: Cross multiply
    7,719,546x = 11,354,780 × 11,354,780
  4. Step 4: Simplify right side
    7,719,546x = 128,931,028,848,400
  5. Step 5: Solve for x
    x = 128,931,028,848,400/7,719,546
  6. Step 6: Final answer
    x = 16,701,892.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.