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Finding the Third Proportional to 14,836,310.50 and 31,632,294

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Solution

The third proportional to 14,836,310.50 and 31,632,294 is: 67,442,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836,310.50 : 31,632,294 = 31,632,294 : x
  2. Step 2: Convert to fraction form
    14,836,310.50/31,632,294 = 31,632,294/x
  3. Step 3: Cross multiply
    14,836,310.50x = 31,632,294 × 31,632,294
  4. Step 4: Simplify right side
    14,836,310.50x = 1,000,602,023,702,436
  5. Step 5: Solve for x
    x = 1,000,602,023,702,436/14,836,310.50
  6. Step 6: Final answer
    x = 67,442,779.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.