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Finding the Third Proportional to 7,735,546 and 16,756,724

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Solution

The third proportional to 7,735,546 and 16,756,724 is: 36,298,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,546 : 16,756,724 = 16,756,724 : x
  2. Step 2: Convert to fraction form
    7,735,546/16,756,724 = 16,756,724/x
  3. Step 3: Cross multiply
    7,735,546x = 16,756,724 × 16,756,724
  4. Step 4: Simplify right side
    7,735,546x = 280,787,799,212,176
  5. Step 5: Solve for x
    x = 280,787,799,212,176/7,735,546
  6. Step 6: Final answer
    x = 36,298,381.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.