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Finding the Third Proportional to 14,386,130 and 30,819,114

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Solution

The third proportional to 14,386,130 and 30,819,114 is: 66,023,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386,130 : 30,819,114 = 30,819,114 : x
  2. Step 2: Convert to fraction form
    14,386,130/30,819,114 = 30,819,114/x
  3. Step 3: Cross multiply
    14,386,130x = 30,819,114 × 30,819,114
  4. Step 4: Simplify right side
    14,386,130x = 949,817,787,744,996
  5. Step 5: Solve for x
    x = 949,817,787,744,996/14,386,130
  6. Step 6: Final answer
    x = 66,023,161.74

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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.