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Finding the Third Proportional to 4,732,936 and 6,768,154

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Solution

The third proportional to 4,732,936 and 6,768,154 is: 9,678,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,936 : 6,768,154 = 6,768,154 : x
  2. Step 2: Convert to fraction form
    4,732,936/6,768,154 = 6,768,154/x
  3. Step 3: Cross multiply
    4,732,936x = 6,768,154 × 6,768,154
  4. Step 4: Simplify right side
    4,732,936x = 45,807,908,567,716
  5. Step 5: Solve for x
    x = 45,807,908,567,716/4,732,936
  6. Step 6: Final answer
    x = 9,678,539.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.