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Finding the Third Proportional to 93,539,541,460 and 218,266,472,818

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Solution

The third proportional to 93,539,541,460 and 218,266,472,818 is: 509,306,036,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,539,541,460 : 218,266,472,818 = 218,266,472,818 : x
  2. Step 2: Convert to fraction form
    93,539,541,460/218,266,472,818 = 218,266,472,818/x
  3. Step 3: Cross multiply
    93,539,541,460x = 218,266,472,818 × 218,266,472,818
  4. Step 4: Simplify right side
    93,539,541,460x = 47,640,253,156,410,729,168,896
  5. Step 5: Solve for x
    x = 47,640,253,156,410,729,168,896/93,539,541,460
  6. Step 6: Final answer
    x = 509,306,036,921.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.