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Finding the Third Proportional to 31,839,647.06 and 68,220,068.06

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Solution

The third proportional to 31,839,647.06 and 68,220,068.06 is: 146,169,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,647.06 : 68,220,068.06 = 68,220,068.06 : x
  2. Step 2: Convert to fraction form
    31,839,647.06/68,220,068.06 = 68,220,068.06/x
  3. Step 3: Cross multiply
    31,839,647.06x = 68,220,068.06 × 68,220,068.06
  4. Step 4: Simplify right side
    31,839,647.06x = 4,653,977,686,452,133
  5. Step 5: Solve for x
    x = 4,653,977,686,452,133/31,839,647.06
  6. Step 6: Final answer
    x = 146,169,261.15

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Why These Related Problems?

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