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Finding the Third Proportional to 645,056,884.50 and 996,101,219.25

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Solution

The third proportional to 645,056,884.50 and 996,101,219.25 is: 1,538,186,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,056,884.50 : 996,101,219.25 = 996,101,219.25 : x
  2. Step 2: Convert to fraction form
    645,056,884.50/996,101,219.25 = 996,101,219.25/x
  3. Step 3: Cross multiply
    645,056,884.50x = 996,101,219.25 × 996,101,219.25
  4. Step 4: Simplify right side
    645,056,884.50x = 992,217,638,991,336,576
  5. Step 5: Solve for x
    x = 992,217,638,991,336,576/645,056,884.50
  6. Step 6: Final answer
    x = 1,538,186,263.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.