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Finding the Third Proportional to 21,016,810 and 45,275,764

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Solution

The third proportional to 21,016,810 and 45,275,764 is: 97,535,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016,810 : 45,275,764 = 45,275,764 : x
  2. Step 2: Convert to fraction form
    21,016,810/45,275,764 = 45,275,764/x
  3. Step 3: Cross multiply
    21,016,810x = 45,275,764 × 45,275,764
  4. Step 4: Simplify right side
    21,016,810x = 2,049,894,805,783,696
  5. Step 5: Solve for x
    x = 2,049,894,805,783,696/21,016,810
  6. Step 6: Final answer
    x = 97,535,963.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.