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Finding the Third Proportional to 45,046,384 and 98,349,788

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Solution

The third proportional to 45,046,384 and 98,349,788 is: 214,727,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,046,384 : 98,349,788 = 98,349,788 : x
  2. Step 2: Convert to fraction form
    45,046,384/98,349,788 = 98,349,788/x
  3. Step 3: Cross multiply
    45,046,384x = 98,349,788 × 98,349,788
  4. Step 4: Simplify right side
    45,046,384x = 9,672,680,799,644,944
  5. Step 5: Solve for x
    x = 9,672,680,799,644,944/45,046,384
  6. Step 6: Final answer
    x = 214,727,131.03

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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.