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Finding the Third Proportional to 11,710,412,919 and 17,840,190,681

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Solution

The third proportional to 11,710,412,919 and 17,840,190,681 is: 27,178,580,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710,412,919 : 17,840,190,681 = 17,840,190,681 : x
  2. Step 2: Convert to fraction form
    11,710,412,919/17,840,190,681 = 17,840,190,681/x
  3. Step 3: Cross multiply
    11,710,412,919x = 17,840,190,681 × 17,840,190,681
  4. Step 4: Simplify right side
    11,710,412,919x = 318,272,403,534,439,251,968
  5. Step 5: Solve for x
    x = 318,272,403,534,439,251,968/11,710,412,919
  6. Step 6: Final answer
    x = 27,178,580,784.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.