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Finding the Third Proportional to 35,506,740 and 76,498,489.50

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Solution

The third proportional to 35,506,740 and 76,498,489.50 is: 164,814,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506,740 : 76,498,489.50 = 76,498,489.50 : x
  2. Step 2: Convert to fraction form
    35,506,740/76,498,489.50 = 76,498,489.50/x
  3. Step 3: Cross multiply
    35,506,740x = 76,498,489.50 × 76,498,489.50
  4. Step 4: Simplify right side
    35,506,740x = 5,852,018,895,781,610
  5. Step 5: Solve for x
    x = 5,852,018,895,781,610/35,506,740
  6. Step 6: Final answer
    x = 164,814,311.19

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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.