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Finding the Third Proportional to 29,974,579 and 70,735,535

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Solution

The third proportional to 29,974,579 and 70,735,535 is: 166,925,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974,579 : 70,735,535 = 70,735,535 : x
  2. Step 2: Convert to fraction form
    29,974,579/70,735,535 = 70,735,535/x
  3. Step 3: Cross multiply
    29,974,579x = 70,735,535 × 70,735,535
  4. Step 4: Simplify right side
    29,974,579x = 5,003,515,911,736,225
  5. Step 5: Solve for x
    x = 5,003,515,911,736,225/29,974,579
  6. Step 6: Final answer
    x = 166,925,310.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.