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Finding the Third Proportional to 29,814,696 and 64,416,453

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Solution

The third proportional to 29,814,696 and 64,416,453 is: 139,175,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814,696 : 64,416,453 = 64,416,453 : x
  2. Step 2: Convert to fraction form
    29,814,696/64,416,453 = 64,416,453/x
  3. Step 3: Cross multiply
    29,814,696x = 64,416,453 × 64,416,453
  4. Step 4: Simplify right side
    29,814,696x = 4,149,479,417,101,209
  5. Step 5: Solve for x
    x = 4,149,479,417,101,209/29,814,696
  6. Step 6: Final answer
    x = 139,175,640.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.