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Finding the Third Proportional to 9,865,463,418 and 23,280,728,184

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Solution

The third proportional to 9,865,463,418 and 23,280,728,184 is: 54,938,352,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,463,418 : 23,280,728,184 = 23,280,728,184 : x
  2. Step 2: Convert to fraction form
    9,865,463,418/23,280,728,184 = 23,280,728,184/x
  3. Step 3: Cross multiply
    9,865,463,418x = 23,280,728,184 × 23,280,728,184
  4. Step 4: Simplify right side
    9,865,463,418x = 541,992,304,777,291,956,224
  5. Step 5: Solve for x
    x = 541,992,304,777,291,956,224/9,865,463,418
  6. Step 6: Final answer
    x = 54,938,352,291.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.