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Finding the Third Proportional to 243,471,462 and 495,445,953

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Solution

The third proportional to 243,471,462 and 495,445,953 is: 1,008,194,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,471,462 : 495,445,953 = 495,445,953 : x
  2. Step 2: Convert to fraction form
    243,471,462/495,445,953 = 495,445,953/x
  3. Step 3: Cross multiply
    243,471,462x = 495,445,953 × 495,445,953
  4. Step 4: Simplify right side
    243,471,462x = 245,466,692,344,078,208
  5. Step 5: Solve for x
    x = 245,466,692,344,078,208/243,471,462
  6. Step 6: Final answer
    x = 1,008,194,924.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.