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Finding the Third Proportional to 29,244,658.50 and 45,260,152.50

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Solution

The third proportional to 29,244,658.50 and 45,260,152.50 is: 70,046,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244,658.50 : 45,260,152.50 = 45,260,152.50 : x
  2. Step 2: Convert to fraction form
    29,244,658.50/45,260,152.50 = 45,260,152.50/x
  3. Step 3: Cross multiply
    29,244,658.50x = 45,260,152.50 × 45,260,152.50
  4. Step 4: Simplify right side
    29,244,658.50x = 2,048,481,404,323,256.25
  5. Step 5: Solve for x
    x = 2,048,481,404,323,256.25/29,244,658.50
  6. Step 6: Final answer
    x = 70,046,343.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.