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Finding the Third Proportional to 6,312,584 and 13,806,412

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Solution

The third proportional to 6,312,584 and 13,806,412 is: 30,196,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312,584 : 13,806,412 = 13,806,412 : x
  2. Step 2: Convert to fraction form
    6,312,584/13,806,412 = 13,806,412/x
  3. Step 3: Cross multiply
    6,312,584x = 13,806,412 × 13,806,412
  4. Step 4: Simplify right side
    6,312,584x = 190,617,012,313,744
  5. Step 5: Solve for x
    x = 190,617,012,313,744/6,312,584
  6. Step 6: Final answer
    x = 30,196,352.61

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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.