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Finding the Third Proportional to 485,323,677,846 and 1,055,120,535,882

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Solution

The third proportional to 485,323,677,846 and 1,055,120,535,882 is: 2,293,890,440,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323,677,846 : 1,055,120,535,882 = 1,055,120,535,882 : x
  2. Step 2: Convert to fraction form
    485,323,677,846/1,055,120,535,882 = 1,055,120,535,882/x
  3. Step 3: Cross multiply
    485,323,677,846x = 1,055,120,535,882 × 1,055,120,535,882
  4. Step 4: Simplify right side
    485,323,677,846x = 1,113,279,345,239,918,834,089,984
  5. Step 5: Solve for x
    x = 1,113,279,345,239,918,834,089,984/485,323,677,846
  6. Step 6: Final answer
    x = 2,293,890,440,666.24

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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.