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Finding the Third Proportional to 2,735,346 and 6,331,834

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Solution

The third proportional to 2,735,346 and 6,331,834 is: 14,657,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,346 : 6,331,834 = 6,331,834 : x
  2. Step 2: Convert to fraction form
    2,735,346/6,331,834 = 6,331,834/x
  3. Step 3: Cross multiply
    2,735,346x = 6,331,834 × 6,331,834
  4. Step 4: Simplify right side
    2,735,346x = 40,092,121,803,556
  5. Step 5: Solve for x
    x = 40,092,121,803,556/2,735,346
  6. Step 6: Final answer
    x = 14,657,056.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.