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Finding the Third Proportional to 16,266,098,306 and 35,515,215,364

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Solution

The third proportional to 16,266,098,306 and 35,515,215,364 is: 77,543,520,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266,098,306 : 35,515,215,364 = 35,515,215,364 : x
  2. Step 2: Convert to fraction form
    16,266,098,306/35,515,215,364 = 35,515,215,364/x
  3. Step 3: Cross multiply
    16,266,098,306x = 35,515,215,364 × 35,515,215,364
  4. Step 4: Simplify right side
    16,266,098,306x = 1,261,330,522,351,301,558,272
  5. Step 5: Solve for x
    x = 1,261,330,522,351,301,558,272/16,266,098,306
  6. Step 6: Final answer
    x = 77,543,520,186.77

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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.