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Finding the Third Proportional to 6,214,484 and 13,292,464

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Solution

The third proportional to 6,214,484 and 13,292,464 is: 28,431,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,484 : 13,292,464 = 13,292,464 : x
  2. Step 2: Convert to fraction form
    6,214,484/13,292,464 = 13,292,464/x
  3. Step 3: Cross multiply
    6,214,484x = 13,292,464 × 13,292,464
  4. Step 4: Simplify right side
    6,214,484x = 176,689,599,191,296
  5. Step 5: Solve for x
    x = 176,689,599,191,296/6,214,484
  6. Step 6: Final answer
    x = 28,431,901.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.