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Finding the Third Proportional to 29,946,348 and 61,308,778.50

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Solution

The third proportional to 29,946,348 and 61,308,778.50 is: 125,516,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946,348 : 61,308,778.50 = 61,308,778.50 : x
  2. Step 2: Convert to fraction form
    29,946,348/61,308,778.50 = 61,308,778.50/x
  3. Step 3: Cross multiply
    29,946,348x = 61,308,778.50 × 61,308,778.50
  4. Step 4: Simplify right side
    29,946,348x = 3,758,766,321,162,062
  5. Step 5: Solve for x
    x = 3,758,766,321,162,062/29,946,348
  6. Step 6: Final answer
    x = 125,516,684.74

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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.