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Finding the Third Proportional to 13,378,214 and 29,312,302

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Solution

The third proportional to 13,378,214 and 29,312,302 is: 64,224,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378,214 : 29,312,302 = 29,312,302 : x
  2. Step 2: Convert to fraction form
    13,378,214/29,312,302 = 29,312,302/x
  3. Step 3: Cross multiply
    13,378,214x = 29,312,302 × 29,312,302
  4. Step 4: Simplify right side
    13,378,214x = 859,211,048,539,204
  5. Step 5: Solve for x
    x = 859,211,048,539,204/13,378,214
  6. Step 6: Final answer
    x = 64,224,645.27

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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.