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Finding the Third Proportional to 22,884,835.50 and 54,011,677.50

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Solution

The third proportional to 22,884,835.50 and 54,011,677.50 is: 127,475,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884,835.50 : 54,011,677.50 = 54,011,677.50 : x
  2. Step 2: Convert to fraction form
    22,884,835.50/54,011,677.50 = 54,011,677.50/x
  3. Step 3: Cross multiply
    22,884,835.50x = 54,011,677.50 × 54,011,677.50
  4. Step 4: Simplify right side
    22,884,835.50x = 2,917,261,306,364,006
  5. Step 5: Solve for x
    x = 2,917,261,306,364,006/22,884,835.50
  6. Step 6: Final answer
    x = 127,475,738.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.