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Finding the Third Proportional to 1,687,655,930 and 3,634,520,992

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Solution

The third proportional to 1,687,655,930 and 3,634,520,992 is: 7,827,272,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,655,930 : 3,634,520,992 = 3,634,520,992 : x
  2. Step 2: Convert to fraction form
    1,687,655,930/3,634,520,992 = 3,634,520,992/x
  3. Step 3: Cross multiply
    1,687,655,930x = 3,634,520,992 × 3,634,520,992
  4. Step 4: Simplify right side
    1,687,655,930x = 13,209,742,841,288,663,040
  5. Step 5: Solve for x
    x = 13,209,742,841,288,663,040/1,687,655,930
  6. Step 6: Final answer
    x = 7,827,272,494.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.