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Finding the Third Proportional to 45,292,409,881 and 67,545,844,237.50

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Solution

The third proportional to 45,292,409,881 and 67,545,844,237.50 is: 100,733,016,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292,409,881 : 67,545,844,237.50 = 67,545,844,237.50 : x
  2. Step 2: Convert to fraction form
    45,292,409,881/67,545,844,237.50 = 67,545,844,237.50/x
  3. Step 3: Cross multiply
    45,292,409,881x = 67,545,844,237.50 × 67,545,844,237.50
  4. Step 4: Simplify right side
    45,292,409,881x = 4,562,441,073,756,611,805,184
  5. Step 5: Solve for x
    x = 4,562,441,073,756,611,805,184/45,292,409,881
  6. Step 6: Final answer
    x = 100,733,016,541.71

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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.