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Finding the Third Proportional to 51,383,499 and 75,145,912.50

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Solution

The third proportional to 51,383,499 and 75,145,912.50 is: 109,897,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383,499 : 75,145,912.50 = 75,145,912.50 : x
  2. Step 2: Convert to fraction form
    51,383,499/75,145,912.50 = 75,145,912.50/x
  3. Step 3: Cross multiply
    51,383,499x = 75,145,912.50 × 75,145,912.50
  4. Step 4: Simplify right side
    51,383,499x = 5,646,908,165,457,656
  5. Step 5: Solve for x
    x = 5,646,908,165,457,656/51,383,499
  6. Step 6: Final answer
    x = 109,897,307.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.