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Finding the Third Proportional to 52,640,123.50 and 81,830,812.50

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Solution

The third proportional to 52,640,123.50 and 81,830,812.50 is: 127,208,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640,123.50 : 81,830,812.50 = 81,830,812.50 : x
  2. Step 2: Convert to fraction form
    52,640,123.50/81,830,812.50 = 81,830,812.50/x
  3. Step 3: Cross multiply
    52,640,123.50x = 81,830,812.50 × 81,830,812.50
  4. Step 4: Simplify right side
    52,640,123.50x = 6,696,281,874,410,156
  5. Step 5: Solve for x
    x = 6,696,281,874,410,156/52,640,123.50
  6. Step 6: Final answer
    x = 127,208,703.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.