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Finding the Third Proportional to 4,627,965 and 9,967,114.50

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Solution

The third proportional to 4,627,965 and 9,967,114.50 is: 21,465,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627,965 : 9,967,114.50 = 9,967,114.50 : x
  2. Step 2: Convert to fraction form
    4,627,965/9,967,114.50 = 9,967,114.50/x
  3. Step 3: Cross multiply
    4,627,965x = 9,967,114.50 × 9,967,114.50
  4. Step 4: Simplify right side
    4,627,965x = 99,343,371,456,110.25
  5. Step 5: Solve for x
    x = 99,343,371,456,110.25/4,627,965
  6. Step 6: Final answer
    x = 21,465,886.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.