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Finding the Third Proportional to 462,307,024 and 633,935,252

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Solution

The third proportional to 462,307,024 and 633,935,252 is: 869,279,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,307,024 : 633,935,252 = 633,935,252 : x
  2. Step 2: Convert to fraction form
    462,307,024/633,935,252 = 633,935,252/x
  3. Step 3: Cross multiply
    462,307,024x = 633,935,252 × 633,935,252
  4. Step 4: Simplify right side
    462,307,024x = 401,873,903,728,303,488
  5. Step 5: Solve for x
    x = 401,873,903,728,303,488/462,307,024
  6. Step 6: Final answer
    x = 869,279,251.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.