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Finding the Third Proportional to 32,216,457,782 and 65,351,527,938

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Solution

The third proportional to 32,216,457,782 and 65,351,527,938 is: 132,566,473,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,216,457,782 : 65,351,527,938 = 65,351,527,938 : x
  2. Step 2: Convert to fraction form
    32,216,457,782/65,351,527,938 = 65,351,527,938/x
  3. Step 3: Cross multiply
    32,216,457,782x = 65,351,527,938 × 65,351,527,938
  4. Step 4: Simplify right side
    32,216,457,782x = 4,270,822,203,831,194,484,736
  5. Step 5: Solve for x
    x = 4,270,822,203,831,194,484,736/32,216,457,782
  6. Step 6: Final answer
    x = 132,566,473,717.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.