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Finding the Third Proportional to 29,946,914 and 61,312,480

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Solution

The third proportional to 29,946,914 and 61,312,480 is: 125,529,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946,914 : 61,312,480 = 61,312,480 : x
  2. Step 2: Convert to fraction form
    29,946,914/61,312,480 = 61,312,480/x
  3. Step 3: Cross multiply
    29,946,914x = 61,312,480 × 61,312,480
  4. Step 4: Simplify right side
    29,946,914x = 3,759,220,203,750,400
  5. Step 5: Solve for x
    x = 3,759,220,203,750,400/29,946,914
  6. Step 6: Final answer
    x = 125,529,468.70

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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.