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Finding the Third Proportional to 32,976,283.50 and 70,481,047.50

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Solution

The third proportional to 32,976,283.50 and 70,481,047.50 is: 150,640,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976,283.50 : 70,481,047.50 = 70,481,047.50 : x
  2. Step 2: Convert to fraction form
    32,976,283.50/70,481,047.50 = 70,481,047.50/x
  3. Step 3: Cross multiply
    32,976,283.50x = 70,481,047.50 × 70,481,047.50
  4. Step 4: Simplify right side
    32,976,283.50x = 4,967,578,056,697,256
  5. Step 5: Solve for x
    x = 4,967,578,056,697,256/32,976,283.50
  6. Step 6: Final answer
    x = 150,640,931.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.