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Finding the Third Proportional to 14,463,830 and 30,889,254

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Solution

The third proportional to 14,463,830 and 30,889,254 is: 65,967,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463,830 : 30,889,254 = 30,889,254 : x
  2. Step 2: Convert to fraction form
    14,463,830/30,889,254 = 30,889,254/x
  3. Step 3: Cross multiply
    14,463,830x = 30,889,254 × 30,889,254
  4. Step 4: Simplify right side
    14,463,830x = 954,146,012,676,516
  5. Step 5: Solve for x
    x = 954,146,012,676,516/14,463,830
  6. Step 6: Final answer
    x = 65,967,728.65

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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.