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Finding the Third Proportional to 23,572,963.50 and 35,214,265.50

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Solution

The third proportional to 23,572,963.50 and 35,214,265.50 is: 52,604,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572,963.50 : 35,214,265.50 = 35,214,265.50 : x
  2. Step 2: Convert to fraction form
    23,572,963.50/35,214,265.50 = 35,214,265.50/x
  3. Step 3: Cross multiply
    23,572,963.50x = 35,214,265.50 × 35,214,265.50
  4. Step 4: Simplify right side
    23,572,963.50x = 1,240,044,494,704,490.25
  5. Step 5: Solve for x
    x = 1,240,044,494,704,490.25/23,572,963.50
  6. Step 6: Final answer
    x = 52,604,522.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.