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Finding the Third Proportional to 13,705,656,092 and 18,492,148,164

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Solution

The third proportional to 13,705,656,092 and 18,492,148,164 is: 24,950,249,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705,656,092 : 18,492,148,164 = 18,492,148,164 : x
  2. Step 2: Convert to fraction form
    13,705,656,092/18,492,148,164 = 18,492,148,164/x
  3. Step 3: Cross multiply
    13,705,656,092x = 18,492,148,164 × 18,492,148,164
  4. Step 4: Simplify right side
    13,705,656,092x = 341,959,543,719,328,546,816
  5. Step 5: Solve for x
    x = 341,959,543,719,328,546,816/13,705,656,092
  6. Step 6: Final answer
    x = 24,950,249,840.21

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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.