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Finding the Third Proportional to 34,783,084.50 and 75,559,641

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Solution

The third proportional to 34,783,084.50 and 75,559,641 is: 164,138,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783,084.50 : 75,559,641 = 75,559,641 : x
  2. Step 2: Convert to fraction form
    34,783,084.50/75,559,641 = 75,559,641/x
  3. Step 3: Cross multiply
    34,783,084.50x = 75,559,641 × 75,559,641
  4. Step 4: Simplify right side
    34,783,084.50x = 5,709,259,348,048,881
  5. Step 5: Solve for x
    x = 5,709,259,348,048,881/34,783,084.50
  6. Step 6: Final answer
    x = 164,138,960.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.