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Finding the Third Proportional to 6,344,004 and 10,214,781

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Solution

The third proportional to 6,344,004 and 10,214,781 is: 16,447,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344,004 : 10,214,781 = 10,214,781 : x
  2. Step 2: Convert to fraction form
    6,344,004/10,214,781 = 10,214,781/x
  3. Step 3: Cross multiply
    6,344,004x = 10,214,781 × 10,214,781
  4. Step 4: Simplify right side
    6,344,004x = 104,341,750,877,961
  5. Step 5: Solve for x
    x = 104,341,750,877,961/6,344,004
  6. Step 6: Final answer
    x = 16,447,302.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.