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Finding the Third Proportional to 35,585,100 and 77,696,181

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Solution

The third proportional to 35,585,100 and 77,696,181 is: 169,641,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,585,100 : 77,696,181 = 77,696,181 : x
  2. Step 2: Convert to fraction form
    35,585,100/77,696,181 = 77,696,181/x
  3. Step 3: Cross multiply
    35,585,100x = 77,696,181 × 77,696,181
  4. Step 4: Simplify right side
    35,585,100x = 6,036,696,541,984,761
  5. Step 5: Solve for x
    x = 6,036,696,541,984,761/35,585,100
  6. Step 6: Final answer
    x = 169,641,129.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.