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Finding the Third Proportional to 4,842,504,010 and 10,427,699,252

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Solution

The third proportional to 4,842,504,010 and 10,427,699,252 is: 22,454,686,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842,504,010 : 10,427,699,252 = 10,427,699,252 : x
  2. Step 2: Convert to fraction form
    4,842,504,010/10,427,699,252 = 10,427,699,252/x
  3. Step 3: Cross multiply
    4,842,504,010x = 10,427,699,252 × 10,427,699,252
  4. Step 4: Simplify right side
    4,842,504,010x = 108,736,911,690,161,356,800
  5. Step 5: Solve for x
    x = 108,736,911,690,161,356,800/4,842,504,010
  6. Step 6: Final answer
    x = 22,454,686,968.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.