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Finding the Third Proportional to 29,946,912 and 61,312,476

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Solution

The third proportional to 29,946,912 and 61,312,476 is: 125,529,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946,912 : 61,312,476 = 61,312,476 : x
  2. Step 2: Convert to fraction form
    29,946,912/61,312,476 = 61,312,476/x
  3. Step 3: Cross multiply
    29,946,912x = 61,312,476 × 61,312,476
  4. Step 4: Simplify right side
    29,946,912x = 3,759,219,713,250,576
  5. Step 5: Solve for x
    x = 3,759,219,713,250,576/29,946,912
  6. Step 6: Final answer
    x = 125,529,460.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.