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Finding the Third Proportional to 33,535,786 and 71,852,354

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Solution

The third proportional to 33,535,786 and 71,852,354 is: 153,947,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,535,786 : 71,852,354 = 71,852,354 : x
  2. Step 2: Convert to fraction form
    33,535,786/71,852,354 = 71,852,354/x
  3. Step 3: Cross multiply
    33,535,786x = 71,852,354 × 71,852,354
  4. Step 4: Simplify right side
    33,535,786x = 5,162,760,775,341,316
  5. Step 5: Solve for x
    x = 5,162,760,775,341,316/33,535,786
  6. Step 6: Final answer
    x = 153,947,808.93

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