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Finding the Third Proportional to 398,968,434,355.80 and 595,838,246,468.75

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Solution

The third proportional to 398,968,434,355.80 and 595,838,246,468.75 is: 889,852,894,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,968,434,355.80 : 595,838,246,468.75 = 595,838,246,468.75 : x
  2. Step 2: Convert to fraction form
    398,968,434,355.80/595,838,246,468.75 = 595,838,246,468.75/x
  3. Step 3: Cross multiply
    398,968,434,355.80x = 595,838,246,468.75 × 595,838,246,468.75
  4. Step 4: Simplify right side
    398,968,434,355.80x = 355,023,215,954,954,897,326,080
  5. Step 5: Solve for x
    x = 355,023,215,954,954,897,326,080/398,968,434,355.80
  6. Step 6: Final answer
    x = 889,852,894,072.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.