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Finding the Third Proportional to 51,509,955 and 110,497,420.50

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Solution

The third proportional to 51,509,955 and 110,497,420.50 is: 237,035,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509,955 : 110,497,420.50 = 110,497,420.50 : x
  2. Step 2: Convert to fraction form
    51,509,955/110,497,420.50 = 110,497,420.50/x
  3. Step 3: Cross multiply
    51,509,955x = 110,497,420.50 × 110,497,420.50
  4. Step 4: Simplify right side
    51,509,955x = 12,209,679,937,153,820
  5. Step 5: Solve for x
    x = 12,209,679,937,153,820/51,509,955
  6. Step 6: Final answer
    x = 237,035,344.67

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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.