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Finding the Third Proportional to 3,458,989,426,694 and 7,438,544,867,952

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Solution

The third proportional to 3,458,989,426,694 and 7,438,544,867,952 is: 15,996,565,160,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,989,426,694 : 7,438,544,867,952 = 7,438,544,867,952 : x
  2. Step 2: Convert to fraction form
    3,458,989,426,694/7,438,544,867,952 = 7,438,544,867,952/x
  3. Step 3: Cross multiply
    3,458,989,426,694x = 7,438,544,867,952 × 7,438,544,867,952
  4. Step 4: Simplify right side
    3,458,989,426,694x = 55,331,949,752,535,041,311,768,576
  5. Step 5: Solve for x
    x = 55,331,949,752,535,041,311,768,576/3,458,989,426,694
  6. Step 6: Final answer
    x = 15,996,565,160,194.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.