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Finding the Third Proportional to 46,551,946 and 101,161,651

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Solution

The third proportional to 46,551,946 and 101,161,651 is: 219,833,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,551,946 : 101,161,651 = 101,161,651 : x
  2. Step 2: Convert to fraction form
    46,551,946/101,161,651 = 101,161,651/x
  3. Step 3: Cross multiply
    46,551,946x = 101,161,651 × 101,161,651
  4. Step 4: Simplify right side
    46,551,946x = 10,233,679,633,045,800
  5. Step 5: Solve for x
    x = 10,233,679,633,045,800/46,551,946
  6. Step 6: Final answer
    x = 219,833,551.81

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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.