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Finding the Third Proportional to 530,313,741 and 1,250,096,935.50

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Solution

The third proportional to 530,313,741 and 1,250,096,935.50 is: 2,946,826,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,313,741 : 1,250,096,935.50 = 1,250,096,935.50 : x
  2. Step 2: Convert to fraction form
    530,313,741/1,250,096,935.50 = 1,250,096,935.50/x
  3. Step 3: Cross multiply
    530,313,741x = 1,250,096,935.50 × 1,250,096,935.50
  4. Step 4: Simplify right side
    530,313,741x = 1,562,742,348,146,491,136
  5. Step 5: Solve for x
    x = 1,562,742,348,146,491,136/530,313,741
  6. Step 6: Final answer
    x = 2,946,826,052.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.