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Finding the Third Proportional to 761,741,721 and 1,072,700,197.50

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Solution

The third proportional to 761,741,721 and 1,072,700,197.50 is: 1,510,598,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,741,721 : 1,072,700,197.50 = 1,072,700,197.50 : x
  2. Step 2: Convert to fraction form
    761,741,721/1,072,700,197.50 = 1,072,700,197.50/x
  3. Step 3: Cross multiply
    761,741,721x = 1,072,700,197.50 × 1,072,700,197.50
  4. Step 4: Simplify right side
    761,741,721x = 1,150,685,713,716,539,008
  5. Step 5: Solve for x
    x = 1,150,685,713,716,539,008/761,741,721
  6. Step 6: Final answer
    x = 1,510,598,253.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.