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Finding the Third Proportional to 4,714,067,664 and 6,554,534,283

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Solution

The third proportional to 4,714,067,664 and 6,554,534,283 is: 9,113,556,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,067,664 : 6,554,534,283 = 6,554,534,283 : x
  2. Step 2: Convert to fraction form
    4,714,067,664/6,554,534,283 = 6,554,534,283/x
  3. Step 3: Cross multiply
    4,714,067,664x = 6,554,534,283 × 6,554,534,283
  4. Step 4: Simplify right side
    4,714,067,664x = 42,961,919,667,022,323,712
  5. Step 5: Solve for x
    x = 42,961,919,667,022,323,712/4,714,067,664
  6. Step 6: Final answer
    x = 9,113,556,004.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.