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Finding the Third Proportional to 14,209,405 and 30,808,428.13

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Solution

The third proportional to 14,209,405 and 30,808,428.13 is: 66,797,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209,405 : 30,808,428.13 = 30,808,428.13 : x
  2. Step 2: Convert to fraction form
    14,209,405/30,808,428.13 = 30,808,428.13/x
  3. Step 3: Cross multiply
    14,209,405x = 30,808,428.13 × 30,808,428.13
  4. Step 4: Simplify right side
    14,209,405x = 949,159,243,533,291
  5. Step 5: Solve for x
    x = 949,159,243,533,291/14,209,405
  6. Step 6: Final answer
    x = 66,797,958.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.