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Finding the Third Proportional to 46,898,653 and 101,818,682

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Solution

The third proportional to 46,898,653 and 101,818,682 is: 221,052,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898,653 : 101,818,682 = 101,818,682 : x
  2. Step 2: Convert to fraction form
    46,898,653/101,818,682 = 101,818,682/x
  3. Step 3: Cross multiply
    46,898,653x = 101,818,682 × 101,818,682
  4. Step 4: Simplify right side
    46,898,653x = 10,367,044,004,217,124
  5. Step 5: Solve for x
    x = 10,367,044,004,217,124/46,898,653
  6. Step 6: Final answer
    x = 221,052,063.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.