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Finding the Third Proportional to 45,292,409,862 and 67,545,844,221

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Solution

The third proportional to 45,292,409,862 and 67,545,844,221 is: 100,733,016,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292,409,862 : 67,545,844,221 = 67,545,844,221 : x
  2. Step 2: Convert to fraction form
    45,292,409,862/67,545,844,221 = 67,545,844,221/x
  3. Step 3: Cross multiply
    45,292,409,862x = 67,545,844,221 × 67,545,844,221
  4. Step 4: Simplify right side
    45,292,409,862x = 4,562,441,071,527,599,276,032
  5. Step 5: Solve for x
    x = 4,562,441,071,527,599,276,032/45,292,409,862
  6. Step 6: Final answer
    x = 100,733,016,534.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.