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Finding the Third Proportional to 21,305,712 and 46,016,520

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Solution

The third proportional to 21,305,712 and 46,016,520 is: 99,387,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305,712 : 46,016,520 = 46,016,520 : x
  2. Step 2: Convert to fraction form
    21,305,712/46,016,520 = 46,016,520/x
  3. Step 3: Cross multiply
    21,305,712x = 46,016,520 × 46,016,520
  4. Step 4: Simplify right side
    21,305,712x = 2,117,520,112,910,400
  5. Step 5: Solve for x
    x = 2,117,520,112,910,400/21,305,712
  6. Step 6: Final answer
    x = 99,387,437.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.