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Finding the Third Proportional to 10,219,000 and 14,208,748

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Solution

The third proportional to 10,219,000 and 14,208,748 is: 19,756,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,000 : 14,208,748 = 14,208,748 : x
  2. Step 2: Convert to fraction form
    10,219,000/14,208,748 = 14,208,748/x
  3. Step 3: Cross multiply
    10,219,000x = 14,208,748 × 14,208,748
  4. Step 4: Simplify right side
    10,219,000x = 201,888,519,727,504
  5. Step 5: Solve for x
    x = 201,888,519,727,504/10,219,000
  6. Step 6: Final answer
    x = 19,756,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.