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Finding the Third Proportional to 35,506,732.50 and 76,498,474.50

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Solution

The third proportional to 35,506,732.50 and 76,498,474.50 is: 164,814,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506,732.50 : 76,498,474.50 = 76,498,474.50 : x
  2. Step 2: Convert to fraction form
    35,506,732.50/76,498,474.50 = 76,498,474.50/x
  3. Step 3: Cross multiply
    35,506,732.50x = 76,498,474.50 × 76,498,474.50
  4. Step 4: Simplify right side
    35,506,732.50x = 5,852,016,600,827,150
  5. Step 5: Solve for x
    x = 5,852,016,600,827,150/35,506,732.50
  6. Step 6: Final answer
    x = 164,814,281.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.