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Finding the Third Proportional to 3,797,901,911,807 and 5,124,261,405,658

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Solution

The third proportional to 3,797,901,911,807 and 5,124,261,405,658 is: 6,913,831,784,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797,901,911,807 : 5,124,261,405,658 = 5,124,261,405,658 : x
  2. Step 2: Convert to fraction form
    3,797,901,911,807/5,124,261,405,658 = 5,124,261,405,658/x
  3. Step 3: Cross multiply
    3,797,901,911,807x = 5,124,261,405,658 × 5,124,261,405,658
  4. Step 4: Simplify right side
    3,797,901,911,807x = 26,258,054,953,516,102,911,524,864
  5. Step 5: Solve for x
    x = 26,258,054,953,516,102,911,524,864/3,797,901,911,807
  6. Step 6: Final answer
    x = 6,913,831,784,829.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.