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Finding the Third Proportional to 3,458,989,427,771 and 7,438,544,870,724

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Solution

The third proportional to 3,458,989,427,771 and 7,438,544,870,724 is: 15,996,565,167,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,989,427,771 : 7,438,544,870,724 = 7,438,544,870,724 : x
  2. Step 2: Convert to fraction form
    3,458,989,427,771/7,438,544,870,724 = 7,438,544,870,724/x
  3. Step 3: Cross multiply
    3,458,989,427,771x = 7,438,544,870,724 × 7,438,544,870,724
  4. Step 4: Simplify right side
    3,458,989,427,771x = 55,331,949,793,774,329,445,482,496
  5. Step 5: Solve for x
    x = 55,331,949,793,774,329,445,482,496/3,458,989,427,771
  6. Step 6: Final answer
    x = 15,996,565,167,136.31

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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.