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Finding the Third Proportional to 33,658,929 and 73,702,282.50

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Solution

The third proportional to 33,658,929 and 73,702,282.50 is: 161,384,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658,929 : 73,702,282.50 = 73,702,282.50 : x
  2. Step 2: Convert to fraction form
    33,658,929/73,702,282.50 = 73,702,282.50/x
  3. Step 3: Cross multiply
    33,658,929x = 73,702,282.50 × 73,702,282.50
  4. Step 4: Simplify right side
    33,658,929x = 5,432,026,445,709,806
  5. Step 5: Solve for x
    x = 5,432,026,445,709,806/33,658,929
  6. Step 6: Final answer
    x = 161,384,411.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.