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Finding the Third Proportional to 1,654,456,028 and 3,584,644,640

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Solution

The third proportional to 1,654,456,028 and 3,584,644,640 is: 7,766,708,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,456,028 : 3,584,644,640 = 3,584,644,640 : x
  2. Step 2: Convert to fraction form
    1,654,456,028/3,584,644,640 = 3,584,644,640/x
  3. Step 3: Cross multiply
    1,654,456,028x = 3,584,644,640 × 3,584,644,640
  4. Step 4: Simplify right side
    1,654,456,028x = 12,849,677,195,080,728,576
  5. Step 5: Solve for x
    x = 12,849,677,195,080,728,576/1,654,456,028
  6. Step 6: Final answer
    x = 7,766,708,197.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.