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Finding the Third Proportional to 295,048,991 and 433,007,512.50

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Solution

The third proportional to 295,048,991 and 433,007,512.50 is: 635,472,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048,991 : 433,007,512.50 = 433,007,512.50 : x
  2. Step 2: Convert to fraction form
    295,048,991/433,007,512.50 = 433,007,512.50/x
  3. Step 3: Cross multiply
    295,048,991x = 433,007,512.50 × 433,007,512.50
  4. Step 4: Simplify right side
    295,048,991x = 187,495,505,881,437,664
  5. Step 5: Solve for x
    x = 187,495,505,881,437,664/295,048,991
  6. Step 6: Final answer
    x = 635,472,452.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.