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Finding the Third Proportional to 30,724,588.38 and 65,831,614.25

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Solution

The third proportional to 30,724,588.38 and 65,831,614.25 is: 141,053,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724,588.38 : 65,831,614.25 = 65,831,614.25 : x
  2. Step 2: Convert to fraction form
    30,724,588.38/65,831,614.25 = 65,831,614.25/x
  3. Step 3: Cross multiply
    30,724,588.38x = 65,831,614.25 × 65,831,614.25
  4. Step 4: Simplify right side
    30,724,588.38x = 4,333,801,434,760,803
  5. Step 5: Solve for x
    x = 4,333,801,434,760,803/30,724,588.38
  6. Step 6: Final answer
    x = 141,053,197.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.