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Finding the Third Proportional to 33,943,818 and 75,570,576

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Solution

The third proportional to 33,943,818 and 75,570,576 is: 168,246,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,943,818 : 75,570,576 = 75,570,576 : x
  2. Step 2: Convert to fraction form
    33,943,818/75,570,576 = 75,570,576/x
  3. Step 3: Cross multiply
    33,943,818x = 75,570,576 × 75,570,576
  4. Step 4: Simplify right side
    33,943,818x = 5,710,911,956,971,776
  5. Step 5: Solve for x
    x = 5,710,911,956,971,776/33,943,818
  6. Step 6: Final answer
    x = 168,246,010.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.