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Finding the Third Proportional to 399,268,553,538.25 and 887,807,857,641.50

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Solution

The third proportional to 399,268,553,538.25 and 887,807,857,641.50 is: 1,974,116,882,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,268,553,538.25 : 887,807,857,641.50 = 887,807,857,641.50 : x
  2. Step 2: Convert to fraction form
    399,268,553,538.25/887,807,857,641.50 = 887,807,857,641.50/x
  3. Step 3: Cross multiply
    399,268,553,538.25x = 887,807,857,641.50 × 887,807,857,641.50
  4. Step 4: Simplify right side
    399,268,553,538.25x = 788,202,792,089,989,907,742,720
  5. Step 5: Solve for x
    x = 788,202,792,089,989,907,742,720/399,268,553,538.25
  6. Step 6: Final answer
    x = 1,974,116,882,246.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.