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Finding the Third Proportional to 13,534,602,972 and 20,690,920,890

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Solution

The third proportional to 13,534,602,972 and 20,690,920,890 is: 31,631,087,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534,602,972 : 20,690,920,890 = 20,690,920,890 : x
  2. Step 2: Convert to fraction form
    13,534,602,972/20,690,920,890 = 20,690,920,890/x
  3. Step 3: Cross multiply
    13,534,602,972x = 20,690,920,890 × 20,690,920,890
  4. Step 4: Simplify right side
    13,534,602,972x = 428,114,207,276,238,372,864
  5. Step 5: Solve for x
    x = 428,114,207,276,238,372,864/13,534,602,972
  6. Step 6: Final answer
    x = 31,631,087,233.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.