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Finding the Third Proportional to 4,784,193 and 10,232,262

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Solution

The third proportional to 4,784,193 and 10,232,262 is: 21,884,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784,193 : 10,232,262 = 10,232,262 : x
  2. Step 2: Convert to fraction form
    4,784,193/10,232,262 = 10,232,262/x
  3. Step 3: Cross multiply
    4,784,193x = 10,232,262 × 10,232,262
  4. Step 4: Simplify right side
    4,784,193x = 104,699,185,636,644
  5. Step 5: Solve for x
    x = 104,699,185,636,644/4,784,193
  6. Step 6: Final answer
    x = 21,884,398.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.