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Finding the Third Proportional to 22,826,387,169 and 46,294,600,464

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Solution

The third proportional to 22,826,387,169 and 46,294,600,464 is: 93,890,899,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826,387,169 : 46,294,600,464 = 46,294,600,464 : x
  2. Step 2: Convert to fraction form
    22,826,387,169/46,294,600,464 = 46,294,600,464/x
  3. Step 3: Cross multiply
    22,826,387,169x = 46,294,600,464 × 46,294,600,464
  4. Step 4: Simplify right side
    22,826,387,169x = 2,143,190,032,121,389,121,536
  5. Step 5: Solve for x
    x = 2,143,190,032,121,389,121,536/22,826,387,169
  6. Step 6: Final answer
    x = 93,890,899,871.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.