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Finding the Third Proportional to 16,390,993,252,196 and 36,446,778,655,696

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Solution

The third proportional to 16,390,993,252,196 and 36,446,778,655,696 is: 81,042,536,833,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390,993,252,196 : 36,446,778,655,696 = 36,446,778,655,696 : x
  2. Step 2: Convert to fraction form
    16,390,993,252,196/36,446,778,655,696 = 36,446,778,655,696/x
  3. Step 3: Cross multiply
    16,390,993,252,196x = 36,446,778,655,696 × 36,446,778,655,696
  4. Step 4: Simplify right side
    16,390,993,252,196x = 1,328,367,674,377,297,569,477,820,416
  5. Step 5: Solve for x
    x = 1,328,367,674,377,297,569,477,820,416/16,390,993,252,196
  6. Step 6: Final answer
    x = 81,042,536,833,411.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.