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Finding the Third Proportional to 10,434,810 and 13,721,724

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Solution

The third proportional to 10,434,810 and 13,721,724 is: 18,043,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434,810 : 13,721,724 = 13,721,724 : x
  2. Step 2: Convert to fraction form
    10,434,810/13,721,724 = 13,721,724/x
  3. Step 3: Cross multiply
    10,434,810x = 13,721,724 × 13,721,724
  4. Step 4: Simplify right side
    10,434,810x = 188,285,709,532,176
  5. Step 5: Solve for x
    x = 188,285,709,532,176/10,434,810
  6. Step 6: Final answer
    x = 18,043,999.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.