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Finding the Third Proportional to 16,870,789,072,010 and 25,810,418,334,429

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Solution

The third proportional to 16,870,789,072,010 and 25,810,418,334,429 is: 39,487,050,176,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870,789,072,010 : 25,810,418,334,429 = 25,810,418,334,429 : x
  2. Step 2: Convert to fraction form
    16,870,789,072,010/25,810,418,334,429 = 25,810,418,334,429/x
  3. Step 3: Cross multiply
    16,870,789,072,010x = 25,810,418,334,429 × 25,810,418,334,429
  4. Step 4: Simplify right side
    16,870,789,072,010x = 666,177,694,598,228,696,415,338,496
  5. Step 5: Solve for x
    x = 666,177,694,598,228,696,415,338,496/16,870,789,072,010
  6. Step 6: Final answer
    x = 39,487,050,176,181.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.