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Finding the Third Proportional to 21,655,477.50 and 48,152,760.38

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Solution

The third proportional to 21,655,477.50 and 48,152,760.38 is: 107,071,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655,477.50 : 48,152,760.38 = 48,152,760.38 : x
  2. Step 2: Convert to fraction form
    21,655,477.50/48,152,760.38 = 48,152,760.38/x
  3. Step 3: Cross multiply
    21,655,477.50x = 48,152,760.38 × 48,152,760.38
  4. Step 4: Simplify right side
    21,655,477.50x = 2,318,688,331,732,170
  5. Step 5: Solve for x
    x = 2,318,688,331,732,170/21,655,477.50
  6. Step 6: Final answer
    x = 107,071,678.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.