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Finding the Third Proportional to 13,705,656,090 and 18,492,148,161

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Solution

The third proportional to 13,705,656,090 and 18,492,148,161 is: 24,950,249,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705,656,090 : 18,492,148,161 = 18,492,148,161 : x
  2. Step 2: Convert to fraction form
    13,705,656,090/18,492,148,161 = 18,492,148,161/x
  3. Step 3: Cross multiply
    13,705,656,090x = 18,492,148,161 × 18,492,148,161
  4. Step 4: Simplify right side
    13,705,656,090x = 341,959,543,608,375,705,600
  5. Step 5: Solve for x
    x = 341,959,543,608,375,705,600/13,705,656,090
  6. Step 6: Final answer
    x = 24,950,249,835.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.