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Finding the Third Proportional to 33,581,946 and 71,199,510

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Solution

The third proportional to 33,581,946 and 71,199,510 is: 150,955,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,581,946 : 71,199,510 = 71,199,510 : x
  2. Step 2: Convert to fraction form
    33,581,946/71,199,510 = 71,199,510/x
  3. Step 3: Cross multiply
    33,581,946x = 71,199,510 × 71,199,510
  4. Step 4: Simplify right side
    33,581,946x = 5,069,370,224,240,100
  5. Step 5: Solve for x
    x = 5,069,370,224,240,100/33,581,946
  6. Step 6: Final answer
    x = 150,955,225.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.