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Finding the Third Proportional to 24,418,781,971 and 52,894,269,017

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Solution

The third proportional to 24,418,781,971 and 52,894,269,017 is: 114,575,890,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418,781,971 : 52,894,269,017 = 52,894,269,017 : x
  2. Step 2: Convert to fraction form
    24,418,781,971/52,894,269,017 = 52,894,269,017/x
  3. Step 3: Cross multiply
    24,418,781,971x = 52,894,269,017 × 52,894,269,017
  4. Step 4: Simplify right side
    24,418,781,971x = 2,797,803,694,842,766,163,968
  5. Step 5: Solve for x
    x = 2,797,803,694,842,766,163,968/24,418,781,971
  6. Step 6: Final answer
    x = 114,575,890,728.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.