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Finding the Third Proportional to 14,466,046 and 30,945,464

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Solution

The third proportional to 14,466,046 and 30,945,464 is: 66,197,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466,046 : 30,945,464 = 30,945,464 : x
  2. Step 2: Convert to fraction form
    14,466,046/30,945,464 = 30,945,464/x
  3. Step 3: Cross multiply
    14,466,046x = 30,945,464 × 30,945,464
  4. Step 4: Simplify right side
    14,466,046x = 957,621,742,175,296
  5. Step 5: Solve for x
    x = 957,621,742,175,296/14,466,046
  6. Step 6: Final answer
    x = 66,197,891.41

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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.