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Finding the Third Proportional to 13,705,656,094 and 18,492,148,167

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Solution

The third proportional to 13,705,656,094 and 18,492,148,167 is: 24,950,249,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705,656,094 : 18,492,148,167 = 18,492,148,167 : x
  2. Step 2: Convert to fraction form
    13,705,656,094/18,492,148,167 = 18,492,148,167/x
  3. Step 3: Cross multiply
    13,705,656,094x = 18,492,148,167 × 18,492,148,167
  4. Step 4: Simplify right side
    13,705,656,094x = 341,959,543,830,281,453,568
  5. Step 5: Solve for x
    x = 341,959,543,830,281,453,568/13,705,656,094
  6. Step 6: Final answer
    x = 24,950,249,844.66

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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.