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Finding the Third Proportional to 26,264,938.50 and 41,958,445.50

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Solution

The third proportional to 26,264,938.50 and 41,958,445.50 is: 67,028,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,264,938.50 : 41,958,445.50 = 41,958,445.50 : x
  2. Step 2: Convert to fraction form
    26,264,938.50/41,958,445.50 = 41,958,445.50/x
  3. Step 3: Cross multiply
    26,264,938.50x = 41,958,445.50 × 41,958,445.50
  4. Step 4: Simplify right side
    26,264,938.50x = 1,760,511,148,776,470.25
  5. Step 5: Solve for x
    x = 1,760,511,148,776,470.25/26,264,938.50
  6. Step 6: Final answer
    x = 67,028,946.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.