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Finding the Third Proportional to 769,550,551 and 1,648,066,210

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Solution

The third proportional to 769,550,551 and 1,648,066,210 is: 3,529,491,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,550,551 : 1,648,066,210 = 1,648,066,210 : x
  2. Step 2: Convert to fraction form
    769,550,551/1,648,066,210 = 1,648,066,210/x
  3. Step 3: Cross multiply
    769,550,551x = 1,648,066,210 × 1,648,066,210
  4. Step 4: Simplify right side
    769,550,551x = 2,716,122,232,543,763,968
  5. Step 5: Solve for x
    x = 2,716,122,232,543,763,968/769,550,551
  6. Step 6: Final answer
    x = 3,529,491,635.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.