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Finding the Third Proportional to 1,205,744,854 and 2,611,847,173

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Solution

The third proportional to 1,205,744,854 and 2,611,847,173 is: 5,657,702,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,744,854 : 2,611,847,173 = 2,611,847,173 : x
  2. Step 2: Convert to fraction form
    1,205,744,854/2,611,847,173 = 2,611,847,173/x
  3. Step 3: Cross multiply
    1,205,744,854x = 2,611,847,173 × 2,611,847,173
  4. Step 4: Simplify right side
    1,205,744,854x = 6,821,745,655,108,091,904
  5. Step 5: Solve for x
    x = 6,821,745,655,108,091,904/1,205,744,854
  6. Step 6: Final answer
    x = 5,657,702,483.64

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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.