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Finding the Third Proportional to 2,042,652,903 and 3,234,985,260

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Solution

The third proportional to 2,042,652,903 and 3,234,985,260 is: 5,123,302,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,652,903 : 3,234,985,260 = 3,234,985,260 : x
  2. Step 2: Convert to fraction form
    2,042,652,903/3,234,985,260 = 3,234,985,260/x
  3. Step 3: Cross multiply
    2,042,652,903x = 3,234,985,260 × 3,234,985,260
  4. Step 4: Simplify right side
    2,042,652,903x = 10,465,129,632,417,267,712
  5. Step 5: Solve for x
    x = 10,465,129,632,417,267,712/2,042,652,903
  6. Step 6: Final answer
    x = 5,123,302,944.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.