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Finding the Third Proportional to 26,850,618,426 and 42,120,696,645

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Solution

The third proportional to 26,850,618,426 and 42,120,696,645 is: 66,074,943,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850,618,426 : 42,120,696,645 = 42,120,696,645 : x
  2. Step 2: Convert to fraction form
    26,850,618,426/42,120,696,645 = 42,120,696,645/x
  3. Step 3: Cross multiply
    26,850,618,426x = 42,120,696,645 × 42,120,696,645
  4. Step 4: Simplify right side
    26,850,618,426x = 1,774,153,085,860,114,333,696
  5. Step 5: Solve for x
    x = 1,774,153,085,860,114,333,696/26,850,618,426
  6. Step 6: Final answer
    x = 66,074,943,143.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.