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Finding the Third Proportional to 57,215,964 and 86,348,834

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Solution

The third proportional to 57,215,964 and 86,348,834 is: 130,315,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,215,964 : 86,348,834 = 86,348,834 : x
  2. Step 2: Convert to fraction form
    57,215,964/86,348,834 = 86,348,834/x
  3. Step 3: Cross multiply
    57,215,964x = 86,348,834 × 86,348,834
  4. Step 4: Simplify right side
    57,215,964x = 7,456,121,133,159,556
  5. Step 5: Solve for x
    x = 7,456,121,133,159,556/57,215,964
  6. Step 6: Final answer
    x = 130,315,398.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.