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Finding the Third Proportional to 46,672,120 and 70,652,082

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Solution

The third proportional to 46,672,120 and 70,652,082 is: 106,952,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672,120 : 70,652,082 = 70,652,082 : x
  2. Step 2: Convert to fraction form
    46,672,120/70,652,082 = 70,652,082/x
  3. Step 3: Cross multiply
    46,672,120x = 70,652,082 × 70,652,082
  4. Step 4: Simplify right side
    46,672,120x = 4,991,716,690,934,724
  5. Step 5: Solve for x
    x = 4,991,716,690,934,724/46,672,120
  6. Step 6: Final answer
    x = 106,952,859.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.