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Finding the Third Proportional to 3,797,901,911,816 and 5,124,261,405,670

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Solution

The third proportional to 3,797,901,911,816 and 5,124,261,405,670 is: 6,913,831,784,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797,901,911,816 : 5,124,261,405,670 = 5,124,261,405,670 : x
  2. Step 2: Convert to fraction form
    3,797,901,911,816/5,124,261,405,670 = 5,124,261,405,670/x
  3. Step 3: Cross multiply
    3,797,901,911,816x = 5,124,261,405,670 × 5,124,261,405,670
  4. Step 4: Simplify right side
    3,797,901,911,816x = 26,258,054,953,639,085,005,078,528
  5. Step 5: Solve for x
    x = 26,258,054,953,639,085,005,078,528/3,797,901,911,816
  6. Step 6: Final answer
    x = 6,913,831,784,845.54

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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.