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Finding the Third Proportional to 1,678,005,543 and 2,333,132,580

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Solution

The third proportional to 1,678,005,543 and 2,333,132,580 is: 3,244,034,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,005,543 : 2,333,132,580 = 2,333,132,580 : x
  2. Step 2: Convert to fraction form
    1,678,005,543/2,333,132,580 = 2,333,132,580/x
  3. Step 3: Cross multiply
    1,678,005,543x = 2,333,132,580 × 2,333,132,580
  4. Step 4: Simplify right side
    1,678,005,543x = 5,443,507,635,857,456,128
  5. Step 5: Solve for x
    x = 5,443,507,635,857,456,128/1,678,005,543
  6. Step 6: Final answer
    x = 3,244,034,358.86

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