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Finding the Third Proportional to 627,569,197.50 and 1,368,136,162.50

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Solution

The third proportional to 627,569,197.50 and 1,368,136,162.50 is: 2,982,613,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,569,197.50 : 1,368,136,162.50 = 1,368,136,162.50 : x
  2. Step 2: Convert to fraction form
    627,569,197.50/1,368,136,162.50 = 1,368,136,162.50/x
  3. Step 3: Cross multiply
    627,569,197.50x = 1,368,136,162.50 × 1,368,136,162.50
  4. Step 4: Simplify right side
    627,569,197.50x = 1,871,796,559,140,226,304
  5. Step 5: Solve for x
    x = 1,871,796,559,140,226,304/627,569,197.50
  6. Step 6: Final answer
    x = 2,982,613,816.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.