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Finding the Third Proportional to 5,752,047 and 9,157,072.50

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Solution

The third proportional to 5,752,047 and 9,157,072.50 is: 14,577,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,047 : 9,157,072.50 = 9,157,072.50 : x
  2. Step 2: Convert to fraction form
    5,752,047/9,157,072.50 = 9,157,072.50/x
  3. Step 3: Cross multiply
    5,752,047x = 9,157,072.50 × 9,157,072.50
  4. Step 4: Simplify right side
    5,752,047x = 83,851,976,770,256.25
  5. Step 5: Solve for x
    x = 83,851,976,770,256.25/5,752,047
  6. Step 6: Final answer
    x = 14,577,762.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.