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Finding the Third Proportional to 55,238,741 and 83,088,735

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Solution

The third proportional to 55,238,741 and 83,088,735 is: 124,980,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,238,741 : 83,088,735 = 83,088,735 : x
  2. Step 2: Convert to fraction form
    55,238,741/83,088,735 = 83,088,735/x
  3. Step 3: Cross multiply
    55,238,741x = 83,088,735 × 83,088,735
  4. Step 4: Simplify right side
    55,238,741x = 6,903,737,883,900,225
  5. Step 5: Solve for x
    x = 6,903,737,883,900,225/55,238,741
  6. Step 6: Final answer
    x = 124,980,000.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.