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Finding the Third Proportional to 301,823,248 and 646,673,536

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Solution

The third proportional to 301,823,248 and 646,673,536 is: 1,385,534,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,823,248 : 646,673,536 = 646,673,536 : x
  2. Step 2: Convert to fraction form
    301,823,248/646,673,536 = 646,673,536/x
  3. Step 3: Cross multiply
    301,823,248x = 646,673,536 × 646,673,536
  4. Step 4: Simplify right side
    301,823,248x = 418,186,662,162,743,296
  5. Step 5: Solve for x
    x = 418,186,662,162,743,296/301,823,248
  6. Step 6: Final answer
    x = 1,385,534,961.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.