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Finding the Third Proportional to 9,671,368 and 14,631,439

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Solution

The third proportional to 9,671,368 and 14,631,439 is: 22,135,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671,368 : 14,631,439 = 14,631,439 : x
  2. Step 2: Convert to fraction form
    9,671,368/14,631,439 = 14,631,439/x
  3. Step 3: Cross multiply
    9,671,368x = 14,631,439 × 14,631,439
  4. Step 4: Simplify right side
    9,671,368x = 214,079,007,210,721
  5. Step 5: Solve for x
    x = 214,079,007,210,721/9,671,368
  6. Step 6: Final answer
    x = 22,135,338.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.