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Finding the Third Proportional to 21,680,947.50 and 46,934,309.25

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Solution

The third proportional to 21,680,947.50 and 46,934,309.25 is: 101,602,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680,947.50 : 46,934,309.25 = 46,934,309.25 : x
  2. Step 2: Convert to fraction form
    21,680,947.50/46,934,309.25 = 46,934,309.25/x
  3. Step 3: Cross multiply
    21,680,947.50x = 46,934,309.25 × 46,934,309.25
  4. Step 4: Simplify right side
    21,680,947.50x = 2,202,829,384,774,635.50
  5. Step 5: Solve for x
    x = 2,202,829,384,774,635.50/21,680,947.50
  6. Step 6: Final answer
    x = 101,602,081.03

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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.