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Finding the Third Proportional to 13,378,212 and 29,312,296

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Solution

The third proportional to 13,378,212 and 29,312,296 is: 64,224,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378,212 : 29,312,296 = 29,312,296 : x
  2. Step 2: Convert to fraction form
    13,378,212/29,312,296 = 29,312,296/x
  3. Step 3: Cross multiply
    13,378,212x = 29,312,296 × 29,312,296
  4. Step 4: Simplify right side
    13,378,212x = 859,210,696,791,616
  5. Step 5: Solve for x
    x = 859,210,696,791,616/13,378,212
  6. Step 6: Final answer
    x = 64,224,628.58

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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.