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Finding the Third Proportional to 45,818,586,893 and 98,639,680,147

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Solution

The third proportional to 45,818,586,893 and 98,639,680,147 is: 212,354,573,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,818,586,893 : 98,639,680,147 = 98,639,680,147 : x
  2. Step 2: Convert to fraction form
    45,818,586,893/98,639,680,147 = 98,639,680,147/x
  3. Step 3: Cross multiply
    45,818,586,893x = 98,639,680,147 × 98,639,680,147
  4. Step 4: Simplify right side
    45,818,586,893x = 9,729,786,499,502,465,613,824
  5. Step 5: Solve for x
    x = 9,729,786,499,502,465,613,824/45,818,586,893
  6. Step 6: Final answer
    x = 212,354,573,968.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.