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Finding the Third Proportional to 6,634,413 and 14,469,354

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Solution

The third proportional to 6,634,413 and 14,469,354 is: 31,557,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634,413 : 14,469,354 = 14,469,354 : x
  2. Step 2: Convert to fraction form
    6,634,413/14,469,354 = 14,469,354/x
  3. Step 3: Cross multiply
    6,634,413x = 14,469,354 × 14,469,354
  4. Step 4: Simplify right side
    6,634,413x = 209,362,205,177,316
  5. Step 5: Solve for x
    x = 209,362,205,177,316/6,634,413
  6. Step 6: Final answer
    x = 31,557,005.15

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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.