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Finding the Third Proportional to 3,427,837,742 and 4,827,150,888

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Solution

The third proportional to 3,427,837,742 and 4,827,150,888 is: 6,797,692,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,837,742 : 4,827,150,888 = 4,827,150,888 : x
  2. Step 2: Convert to fraction form
    3,427,837,742/4,827,150,888 = 4,827,150,888/x
  3. Step 3: Cross multiply
    3,427,837,742x = 4,827,150,888 × 4,827,150,888
  4. Step 4: Simplify right side
    3,427,837,742x = 23,301,385,695,519,186,944
  5. Step 5: Solve for x
    x = 23,301,385,695,519,186,944/3,427,837,742
  6. Step 6: Final answer
    x = 6,797,692,145.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.