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Finding the Third Proportional to 3,488,538,534 and 5,362,133,841

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Solution

The third proportional to 3,488,538,534 and 5,362,133,841 is: 8,241,984,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488,538,534 : 5,362,133,841 = 5,362,133,841 : x
  2. Step 2: Convert to fraction form
    3,488,538,534/5,362,133,841 = 5,362,133,841/x
  3. Step 3: Cross multiply
    3,488,538,534x = 5,362,133,841 × 5,362,133,841
  4. Step 4: Simplify right side
    3,488,538,534x = 28,752,479,328,797,413,376
  5. Step 5: Solve for x
    x = 28,752,479,328,797,413,376/3,488,538,534
  6. Step 6: Final answer
    x = 8,241,984,157.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.