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Finding the Third Proportional to 10,172,835 and 14,229,333

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Solution

The third proportional to 10,172,835 and 14,229,333 is: 19,903,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172,835 : 14,229,333 = 14,229,333 : x
  2. Step 2: Convert to fraction form
    10,172,835/14,229,333 = 14,229,333/x
  3. Step 3: Cross multiply
    10,172,835x = 14,229,333 × 14,229,333
  4. Step 4: Simplify right side
    10,172,835x = 202,473,917,624,889
  5. Step 5: Solve for x
    x = 202,473,917,624,889/10,172,835
  6. Step 6: Final answer
    x = 19,903,391.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.