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Finding the Third Proportional to 895,235,814 and 1,926,520,564.50

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Solution

The third proportional to 895,235,814 and 1,926,520,564.50 is: 4,145,814,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,235,814 : 1,926,520,564.50 = 1,926,520,564.50 : x
  2. Step 2: Convert to fraction form
    895,235,814/1,926,520,564.50 = 1,926,520,564.50/x
  3. Step 3: Cross multiply
    895,235,814x = 1,926,520,564.50 × 1,926,520,564.50
  4. Step 4: Simplify right side
    895,235,814x = 3,711,481,485,441,398,784
  5. Step 5: Solve for x
    x = 3,711,481,485,441,398,784/895,235,814
  6. Step 6: Final answer
    x = 4,145,814,351.26

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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.