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Finding the Third Proportional to 34,725,973.50 and 51,049,860.75

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Solution

The third proportional to 34,725,973.50 and 51,049,860.75 is: 75,047,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725,973.50 : 51,049,860.75 = 51,049,860.75 : x
  2. Step 2: Convert to fraction form
    34,725,973.50/51,049,860.75 = 51,049,860.75/x
  3. Step 3: Cross multiply
    34,725,973.50x = 51,049,860.75 × 51,049,860.75
  4. Step 4: Simplify right side
    34,725,973.50x = 2,606,088,282,594,390.50
  5. Step 5: Solve for x
    x = 2,606,088,282,594,390.50/34,725,973.50
  6. Step 6: Final answer
    x = 75,047,234.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.