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Finding the Third Proportional to 22,952,740.50 and 48,495,957

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Solution

The third proportional to 22,952,740.50 and 48,495,957 is: 102,465,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952,740.50 : 48,495,957 = 48,495,957 : x
  2. Step 2: Convert to fraction form
    22,952,740.50/48,495,957 = 48,495,957/x
  3. Step 3: Cross multiply
    22,952,740.50x = 48,495,957 × 48,495,957
  4. Step 4: Simplify right side
    22,952,740.50x = 2,351,857,845,345,849
  5. Step 5: Solve for x
    x = 2,351,857,845,345,849/22,952,740.50
  6. Step 6: Final answer
    x = 102,465,230.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.