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Finding the Third Proportional to 16,782,970,826,680 and 36,521,214,902,850

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Solution

The third proportional to 16,782,970,826,680 and 36,521,214,902,850 is: 79,473,363,312,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782,970,826,680 : 36,521,214,902,850 = 36,521,214,902,850 : x
  2. Step 2: Convert to fraction form
    16,782,970,826,680/36,521,214,902,850 = 36,521,214,902,850/x
  3. Step 3: Cross multiply
    16,782,970,826,680x = 36,521,214,902,850 × 36,521,214,902,850
  4. Step 4: Simplify right side
    16,782,970,826,680x = 1,333,799,137,980,152,984,473,960,448
  5. Step 5: Solve for x
    x = 1,333,799,137,980,152,984,473,960,448/16,782,970,826,680
  6. Step 6: Final answer
    x = 79,473,363,312,996.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.