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Finding the Third Proportional to 4,634,700 and 6,786,135

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Solution

The third proportional to 4,634,700 and 6,786,135 is: 9,936,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634,700 : 6,786,135 = 6,786,135 : x
  2. Step 2: Convert to fraction form
    4,634,700/6,786,135 = 6,786,135/x
  3. Step 3: Cross multiply
    4,634,700x = 6,786,135 × 6,786,135
  4. Step 4: Simplify right side
    4,634,700x = 46,051,628,238,225
  5. Step 5: Solve for x
    x = 46,051,628,238,225/4,634,700
  6. Step 6: Final answer
    x = 9,936,269.50

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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.