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Finding the Third Proportional to 25,304,576,896.50 and 52,703,598,243

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Solution

The third proportional to 25,304,576,896.50 and 52,703,598,243 is: 109,769,441,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304,576,896.50 : 52,703,598,243 = 52,703,598,243 : x
  2. Step 2: Convert to fraction form
    25,304,576,896.50/52,703,598,243 = 52,703,598,243/x
  3. Step 3: Cross multiply
    25,304,576,896.50x = 52,703,598,243 × 52,703,598,243
  4. Step 4: Simplify right side
    25,304,576,896.50x = 2,777,669,267,759,552,790,528
  5. Step 5: Solve for x
    x = 2,777,669,267,759,552,790,528/25,304,576,896.50
  6. Step 6: Final answer
    x = 109,769,441,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.