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Finding the Third Proportional to 14,143,704 and 30,878,208

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Solution

The third proportional to 14,143,704 and 30,878,208 is: 67,412,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143,704 : 30,878,208 = 30,878,208 : x
  2. Step 2: Convert to fraction form
    14,143,704/30,878,208 = 30,878,208/x
  3. Step 3: Cross multiply
    14,143,704x = 30,878,208 × 30,878,208
  4. Step 4: Simplify right side
    14,143,704x = 953,463,729,291,264
  5. Step 5: Solve for x
    x = 953,463,729,291,264/14,143,704
  6. Step 6: Final answer
    x = 67,412,590.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.