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Finding the Third Proportional to 319,993,369,125.75 and 462,335,159,340

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Solution

The third proportional to 319,993,369,125.75 and 462,335,159,340 is: 667,994,465,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,993,369,125.75 : 462,335,159,340 = 462,335,159,340 : x
  2. Step 2: Convert to fraction form
    319,993,369,125.75/462,335,159,340 = 462,335,159,340/x
  3. Step 3: Cross multiply
    319,993,369,125.75x = 462,335,159,340 × 462,335,159,340
  4. Step 4: Simplify right side
    319,993,369,125.75x = 213,753,799,561,943,189,553,152
  5. Step 5: Solve for x
    x = 213,753,799,561,943,189,553,152/319,993,369,125.75
  6. Step 6: Final answer
    x = 667,994,465,466.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.