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Finding the Third Proportional to 17,897,355,819 and 26,920,755,180

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Solution

The third proportional to 17,897,355,819 and 26,920,755,180 is: 40,493,526,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897,355,819 : 26,920,755,180 = 26,920,755,180 : x
  2. Step 2: Convert to fraction form
    17,897,355,819/26,920,755,180 = 26,920,755,180/x
  3. Step 3: Cross multiply
    17,897,355,819x = 26,920,755,180 × 26,920,755,180
  4. Step 4: Simplify right side
    17,897,355,819x = 724,727,059,461,496,897,536
  5. Step 5: Solve for x
    x = 724,727,059,461,496,897,536/17,897,355,819
  6. Step 6: Final answer
    x = 40,493,526,909.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.