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Finding the Third Proportional to 30,646,616 and 45,704,161

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Solution

The third proportional to 30,646,616 and 45,704,161 is: 68,159,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,616 : 45,704,161 = 45,704,161 : x
  2. Step 2: Convert to fraction form
    30,646,616/45,704,161 = 45,704,161/x
  3. Step 3: Cross multiply
    30,646,616x = 45,704,161 × 45,704,161
  4. Step 4: Simplify right side
    30,646,616x = 2,088,870,332,713,921
  5. Step 5: Solve for x
    x = 2,088,870,332,713,921/30,646,616
  6. Step 6: Final answer
    x = 68,159,901.66

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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.