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Finding the Third Proportional to 295,048,980 and 433,007,496

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Solution

The third proportional to 295,048,980 and 433,007,496 is: 635,472,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048,980 : 433,007,496 = 433,007,496 : x
  2. Step 2: Convert to fraction form
    295,048,980/433,007,496 = 433,007,496/x
  3. Step 3: Cross multiply
    295,048,980x = 433,007,496 × 433,007,496
  4. Step 4: Simplify right side
    295,048,980x = 187,495,491,592,190,016
  5. Step 5: Solve for x
    x = 187,495,491,592,190,016/295,048,980
  6. Step 6: Final answer
    x = 635,472,427.64

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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.