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Finding the Third Proportional to 1,092,867,242.24 and 1,678,777,760.11

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Solution

The third proportional to 1,092,867,242.24 and 1,678,777,760.11 is: 2,578,807,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,867,242.24 : 1,678,777,760.11 = 1,678,777,760.11 : x
  2. Step 2: Convert to fraction form
    1,092,867,242.24/1,678,777,760.11 = 1,678,777,760.11/x
  3. Step 3: Cross multiply
    1,092,867,242.24x = 1,678,777,760.11 × 1,678,777,760.11
  4. Step 4: Simplify right side
    1,092,867,242.24x = 2,818,294,767,837,934,080
  5. Step 5: Solve for x
    x = 2,818,294,767,837,934,080/1,092,867,242.24
  6. Step 6: Final answer
    x = 2,578,807,982.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.