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Finding the Third Proportional to 35,584,560 and 77,694,084

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Solution

The third proportional to 35,584,560 and 77,694,084 is: 169,634,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584,560 : 77,694,084 = 77,694,084 : x
  2. Step 2: Convert to fraction form
    35,584,560/77,694,084 = 77,694,084/x
  3. Step 3: Cross multiply
    35,584,560x = 77,694,084 × 77,694,084
  4. Step 4: Simplify right side
    35,584,560x = 6,036,370,688,599,056
  5. Step 5: Solve for x
    x = 6,036,370,688,599,056/35,584,560
  6. Step 6: Final answer
    x = 169,634,546.24

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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.