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Finding the Third Proportional to 7,937,536 and 16,828,848

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Solution

The third proportional to 7,937,536 and 16,828,848 is: 35,679,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937,536 : 16,828,848 = 16,828,848 : x
  2. Step 2: Convert to fraction form
    7,937,536/16,828,848 = 16,828,848/x
  3. Step 3: Cross multiply
    7,937,536x = 16,828,848 × 16,828,848
  4. Step 4: Simplify right side
    7,937,536x = 283,210,125,007,104
  5. Step 5: Solve for x
    x = 283,210,125,007,104/7,937,536
  6. Step 6: Final answer
    x = 35,679,853.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.