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Finding the Third Proportional to 26,850,618,431 and 42,120,696,653

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Solution

The third proportional to 26,850,618,431 and 42,120,696,653 is: 66,074,943,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850,618,431 : 42,120,696,653 = 42,120,696,653 : x
  2. Step 2: Convert to fraction form
    26,850,618,431/42,120,696,653 = 42,120,696,653/x
  3. Step 3: Cross multiply
    26,850,618,431x = 42,120,696,653 × 42,120,696,653
  4. Step 4: Simplify right side
    26,850,618,431x = 1,774,153,086,534,045,401,088
  5. Step 5: Solve for x
    x = 1,774,153,086,534,045,401,088/26,850,618,431
  6. Step 6: Final answer
    x = 66,074,943,156.08

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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.