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Finding the Third Proportional to 33,042,098.50 and 71,574,773

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Solution

The third proportional to 33,042,098.50 and 71,574,773 is: 155,043,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,098.50 : 71,574,773 = 71,574,773 : x
  2. Step 2: Convert to fraction form
    33,042,098.50/71,574,773 = 71,574,773/x
  3. Step 3: Cross multiply
    33,042,098.50x = 71,574,773 × 71,574,773
  4. Step 4: Simplify right side
    33,042,098.50x = 5,122,948,130,001,529
  5. Step 5: Solve for x
    x = 5,122,948,130,001,529/33,042,098.50
  6. Step 6: Final answer
    x = 155,043,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.