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Finding the Third Proportional to 295,048,082 and 643,492,983

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Solution

The third proportional to 295,048,082 and 643,492,983 is: 1,403,443,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048,082 : 643,492,983 = 643,492,983 : x
  2. Step 2: Convert to fraction form
    295,048,082/643,492,983 = 643,492,983/x
  3. Step 3: Cross multiply
    295,048,082x = 643,492,983 × 643,492,983
  4. Step 4: Simplify right side
    295,048,082x = 414,083,219,170,238,272
  5. Step 5: Solve for x
    x = 414,083,219,170,238,272/295,048,082
  6. Step 6: Final answer
    x = 1,403,443,182.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.