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Finding the Third Proportional to 29,312,478 and 39,078,852.75

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Solution

The third proportional to 29,312,478 and 39,078,852.75 is: 52,099,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312,478 : 39,078,852.75 = 39,078,852.75 : x
  2. Step 2: Convert to fraction form
    29,312,478/39,078,852.75 = 39,078,852.75/x
  3. Step 3: Cross multiply
    29,312,478x = 39,078,852.75 × 39,078,852.75
  4. Step 4: Simplify right side
    29,312,478x = 1,527,156,732,256,182.50
  5. Step 5: Solve for x
    x = 1,527,156,732,256,182.50/29,312,478
  6. Step 6: Final answer
    x = 52,099,202.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.