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Finding the Third Proportional to 2,625,637,113 and 5,731,103,241

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Solution

The third proportional to 2,625,637,113 and 5,731,103,241 is: 12,509,552,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625,637,113 : 5,731,103,241 = 5,731,103,241 : x
  2. Step 2: Convert to fraction form
    2,625,637,113/5,731,103,241 = 5,731,103,241/x
  3. Step 3: Cross multiply
    2,625,637,113x = 5,731,103,241 × 5,731,103,241
  4. Step 4: Simplify right side
    2,625,637,113x = 32,845,544,359,000,702,976
  5. Step 5: Solve for x
    x = 32,845,544,359,000,702,976/2,625,637,113
  6. Step 6: Final answer
    x = 12,509,552,137.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.