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Finding the Third Proportional to 5,039,386.50 and 7,756,308

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Solution

The third proportional to 5,039,386.50 and 7,756,308 is: 11,938,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039,386.50 : 7,756,308 = 7,756,308 : x
  2. Step 2: Convert to fraction form
    5,039,386.50/7,756,308 = 7,756,308/x
  3. Step 3: Cross multiply
    5,039,386.50x = 7,756,308 × 7,756,308
  4. Step 4: Simplify right side
    5,039,386.50x = 60,160,313,790,864
  5. Step 5: Solve for x
    x = 60,160,313,790,864/5,039,386.50
  6. Step 6: Final answer
    x = 11,938,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.