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Finding the Third Proportional to 21,012,198 and 46,010,202

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Solution

The third proportional to 21,012,198 and 46,010,202 is: 100,748,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012,198 : 46,010,202 = 46,010,202 : x
  2. Step 2: Convert to fraction form
    21,012,198/46,010,202 = 46,010,202/x
  3. Step 3: Cross multiply
    21,012,198x = 46,010,202 × 46,010,202
  4. Step 4: Simplify right side
    21,012,198x = 2,116,938,688,080,804
  5. Step 5: Solve for x
    x = 2,116,938,688,080,804/21,012,198
  6. Step 6: Final answer
    x = 100,748,083.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.