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Finding the Third Proportional to 5,349,980.25 and 11,572,573.50

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Solution

The third proportional to 5,349,980.25 and 11,572,573.50 is: 25,032,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349,980.25 : 11,572,573.50 = 11,572,573.50 : x
  2. Step 2: Convert to fraction form
    5,349,980.25/11,572,573.50 = 11,572,573.50/x
  3. Step 3: Cross multiply
    5,349,980.25x = 11,572,573.50 × 11,572,573.50
  4. Step 4: Simplify right side
    5,349,980.25x = 133,924,457,412,902.25
  5. Step 5: Solve for x
    x = 133,924,457,412,902.25/5,349,980.25
  6. Step 6: Final answer
    x = 25,032,701.27

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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.