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Finding the Third Proportional to 23,286,783,141 and 50,653,651,464

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Solution

The third proportional to 23,286,783,141 and 50,653,651,464 is: 110,182,346,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,783,141 : 50,653,651,464 = 50,653,651,464 : x
  2. Step 2: Convert to fraction form
    23,286,783,141/50,653,651,464 = 50,653,651,464/x
  3. Step 3: Cross multiply
    23,286,783,141x = 50,653,651,464 × 50,653,651,464
  4. Step 4: Simplify right side
    23,286,783,141x = 2,565,792,406,636,389,203,968
  5. Step 5: Solve for x
    x = 2,565,792,406,636,389,203,968/23,286,783,141
  6. Step 6: Final answer
    x = 110,182,346,402.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.