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Finding the Third Proportional to 7,731,576 and 16,458,480

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Solution

The third proportional to 7,731,576 and 16,458,480 is: 35,035,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731,576 : 16,458,480 = 16,458,480 : x
  2. Step 2: Convert to fraction form
    7,731,576/16,458,480 = 16,458,480/x
  3. Step 3: Cross multiply
    7,731,576x = 16,458,480 × 16,458,480
  4. Step 4: Simplify right side
    7,731,576x = 270,881,563,910,400
  5. Step 5: Solve for x
    x = 270,881,563,910,400/7,731,576
  6. Step 6: Final answer
    x = 35,035,750.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.