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Finding the Third Proportional to 14,463,012 and 21,176,982

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Solution

The third proportional to 14,463,012 and 21,176,982 is: 31,007,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463,012 : 21,176,982 = 21,176,982 : x
  2. Step 2: Convert to fraction form
    14,463,012/21,176,982 = 21,176,982/x
  3. Step 3: Cross multiply
    14,463,012x = 21,176,982 × 21,176,982
  4. Step 4: Simplify right side
    14,463,012x = 448,464,566,628,324
  5. Step 5: Solve for x
    x = 448,464,566,628,324/14,463,012
  6. Step 6: Final answer
    x = 31,007,688.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.