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Finding the Third Proportional to 33,537,168 and 71,855,712

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Solution

The third proportional to 33,537,168 and 71,855,712 is: 153,955,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537,168 : 71,855,712 = 71,855,712 : x
  2. Step 2: Convert to fraction form
    33,537,168/71,855,712 = 71,855,712/x
  3. Step 3: Cross multiply
    33,537,168x = 71,855,712 × 71,855,712
  4. Step 4: Simplify right side
    33,537,168x = 5,163,243,347,026,944
  5. Step 5: Solve for x
    x = 5,163,243,347,026,944/33,537,168
  6. Step 6: Final answer
    x = 153,955,854.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.