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Finding the Third Proportional to 7,380,796 and 10,389,246

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Solution

The third proportional to 7,380,796 and 10,389,246 is: 14,623,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380,796 : 10,389,246 = 10,389,246 : x
  2. Step 2: Convert to fraction form
    7,380,796/10,389,246 = 10,389,246/x
  3. Step 3: Cross multiply
    7,380,796x = 10,389,246 × 10,389,246
  4. Step 4: Simplify right side
    7,380,796x = 107,936,432,448,516
  5. Step 5: Solve for x
    x = 107,936,432,448,516/7,380,796
  6. Step 6: Final answer
    x = 14,623,955.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.