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Finding the Third Proportional to 29,683,188 and 45,407,583

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Solution

The third proportional to 29,683,188 and 45,407,583 is: 69,461,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683,188 : 45,407,583 = 45,407,583 : x
  2. Step 2: Convert to fraction form
    29,683,188/45,407,583 = 45,407,583/x
  3. Step 3: Cross multiply
    29,683,188x = 45,407,583 × 45,407,583
  4. Step 4: Simplify right side
    29,683,188x = 2,061,848,593,901,889
  5. Step 5: Solve for x
    x = 2,061,848,593,901,889/29,683,188
  6. Step 6: Final answer
    x = 69,461,831.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.