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Finding the Third Proportional to 7,546,755 and 16,294,893

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Solution

The third proportional to 7,546,755 and 16,294,893 is: 35,183,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,755 : 16,294,893 = 16,294,893 : x
  2. Step 2: Convert to fraction form
    7,546,755/16,294,893 = 16,294,893/x
  3. Step 3: Cross multiply
    7,546,755x = 16,294,893 × 16,294,893
  4. Step 4: Simplify right side
    7,546,755x = 265,523,537,881,449
  5. Step 5: Solve for x
    x = 265,523,537,881,449/7,546,755
  6. Step 6: Final answer
    x = 35,183,802.56

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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.