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Finding the Third Proportional to 319,993,368,836.50 and 462,335,158,981.50

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Solution

The third proportional to 319,993,368,836.50 and 462,335,158,981.50 is: 667,994,465,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,993,368,836.50 : 462,335,158,981.50 = 462,335,158,981.50 : x
  2. Step 2: Convert to fraction form
    319,993,368,836.50/462,335,158,981.50 = 462,335,158,981.50/x
  3. Step 3: Cross multiply
    319,993,368,836.50x = 462,335,158,981.50 × 462,335,158,981.50
  4. Step 4: Simplify right side
    319,993,368,836.50x = 213,753,799,230,448,889,495,552
  5. Step 5: Solve for x
    x = 213,753,799,230,448,889,495,552/319,993,368,836.50
  6. Step 6: Final answer
    x = 667,994,465,034.26

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