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Finding the Third Proportional to 46,898,646 and 101,818,668

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Solution

The third proportional to 46,898,646 and 101,818,668 is: 221,052,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898,646 : 101,818,668 = 101,818,668 : x
  2. Step 2: Convert to fraction form
    46,898,646/101,818,668 = 101,818,668/x
  3. Step 3: Cross multiply
    46,898,646x = 101,818,668 × 101,818,668
  4. Step 4: Simplify right side
    46,898,646x = 10,367,041,153,294,224
  5. Step 5: Solve for x
    x = 10,367,041,153,294,224/46,898,646
  6. Step 6: Final answer
    x = 221,052,035.35

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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.