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Finding the Third Proportional to 55,778,682 and 81,527,409

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Solution

The third proportional to 55,778,682 and 81,527,409 is: 119,162,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778,682 : 81,527,409 = 81,527,409 : x
  2. Step 2: Convert to fraction form
    55,778,682/81,527,409 = 81,527,409/x
  3. Step 3: Cross multiply
    55,778,682x = 81,527,409 × 81,527,409
  4. Step 4: Simplify right side
    55,778,682x = 6,646,718,418,253,281
  5. Step 5: Solve for x
    x = 6,646,718,418,253,281/55,778,682
  6. Step 6: Final answer
    x = 119,162,342.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.