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Finding the Third Proportional to 485,323,679,637 and 1,055,120,539,905

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Solution

The third proportional to 485,323,679,637 and 1,055,120,539,905 is: 2,293,890,449,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323,679,637 : 1,055,120,539,905 = 1,055,120,539,905 : x
  2. Step 2: Convert to fraction form
    485,323,679,637/1,055,120,539,905 = 1,055,120,539,905/x
  3. Step 3: Cross multiply
    485,323,679,637x = 1,055,120,539,905 × 1,055,120,539,905
  4. Step 4: Simplify right side
    485,323,679,637x = 1,113,279,353,729,418,702,880,768
  5. Step 5: Solve for x
    x = 1,113,279,353,729,418,702,880,768/485,323,679,637
  6. Step 6: Final answer
    x = 2,293,890,449,693.49

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Why These Related Problems?

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