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Finding the Third Proportional to 14,305,329 and 30,656,070

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Solution

The third proportional to 14,305,329 and 30,656,070 is: 65,695,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305,329 : 30,656,070 = 30,656,070 : x
  2. Step 2: Convert to fraction form
    14,305,329/30,656,070 = 30,656,070/x
  3. Step 3: Cross multiply
    14,305,329x = 30,656,070 × 30,656,070
  4. Step 4: Simplify right side
    14,305,329x = 939,794,627,844,900
  5. Step 5: Solve for x
    x = 939,794,627,844,900/14,305,329
  6. Step 6: Final answer
    x = 65,695,422.16

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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.