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Finding the Third Proportional to 2,118,020 and 4,640,357.50

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Solution

The third proportional to 2,118,020 and 4,640,357.50 is: 10,166,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,020 : 4,640,357.50 = 4,640,357.50 : x
  2. Step 2: Convert to fraction form
    2,118,020/4,640,357.50 = 4,640,357.50/x
  3. Step 3: Cross multiply
    2,118,020x = 4,640,357.50 × 4,640,357.50
  4. Step 4: Simplify right side
    2,118,020x = 21,532,917,727,806.25
  5. Step 5: Solve for x
    x = 21,532,917,727,806.25/2,118,020
  6. Step 6: Final answer
    x = 10,166,531.82

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