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Finding the Third Proportional to 51,509,958 and 110,497,426.50

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Solution

The third proportional to 51,509,958 and 110,497,426.50 is: 237,035,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509,958 : 110,497,426.50 = 110,497,426.50 : x
  2. Step 2: Convert to fraction form
    51,509,958/110,497,426.50 = 110,497,426.50/x
  3. Step 3: Cross multiply
    51,509,958x = 110,497,426.50 × 110,497,426.50
  4. Step 4: Simplify right side
    51,509,958x = 12,209,681,263,122,902
  5. Step 5: Solve for x
    x = 12,209,681,263,122,902/51,509,958
  6. Step 6: Final answer
    x = 237,035,356.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.