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Finding the Third Proportional to 22,957,973 and 49,951,421.50

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Solution

The third proportional to 22,957,973 and 49,951,421.50 is: 108,683,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957,973 : 49,951,421.50 = 49,951,421.50 : x
  2. Step 2: Convert to fraction form
    22,957,973/49,951,421.50 = 49,951,421.50/x
  3. Step 3: Cross multiply
    22,957,973x = 49,951,421.50 × 49,951,421.50
  4. Step 4: Simplify right side
    22,957,973x = 2,495,144,509,870,662
  5. Step 5: Solve for x
    x = 2,495,144,509,870,662/22,957,973
  6. Step 6: Final answer
    x = 108,683,136.35

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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.